If two adjacent angles are equal, then each angle measures $90^\circ .$
- ATrue
- ✓False
- CAmbiguous
- DData Insufficient
Answer: B.
View full solution →Question types
Lines and Angles question types
414 questions across 9 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
414
Questions
9
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
234 Q→02Assertion (A) & Reason (B) MCQ
77 Q→03True False[1 Marks ]
15 Q→04BLANKS [1 Marks Each]
45 Q→051 Marks Question
18 Q→062 Marks Questions
14 Q→07case /data -based (4 Marks)
3 Q→08Match the following.
1 Q→093 Marks Question
7 Q→Sample Questions
Lines and Angles questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
If an angle is its own complementary angle, then its measure is _________.
- A$30^\circ $
- ✓$45^\circ $
- C$60^\circ $
- D$90^\circ $
Answer: B.
View full solution →Supplementary angle of $100^\circ $ is:
- A$180^\circ $
- B$90^\circ $
- ✓$80^\circ $
- D$60^\circ $
Answer: C.
View full solution →Find the measure of the complementary angle of $90^\circ .$
- ✓$0^\circ$
- B$45^\circ$
- C$90^\circ$
- D$60^\circ$
Answer: A.
View full solution →Consider the following statements relating to $3$ lines $L_1 , L_2$ and $L_3$ in the same plane
$1.$ If $L_2$ and $L_3$ are both parallel to $L_1,$ then they are parallel to each other.
$2.$ If $L_2$ and $L_3$ are both perpendicular to $L_1,$ then they are parallel to each other.
$3.$ If the acute angle between $L_1$ and $L_2$ is equal to to acute angle between $L_1$ and $L_3$, then $L_2$ is parallel to $L_3$.
Of these statements:
$1.$ If $L_2$ and $L_3$ are both parallel to $L_1,$ then they are parallel to each other.
$2.$ If $L_2$ and $L_3$ are both perpendicular to $L_1,$ then they are parallel to each other.
$3.$ If the acute angle between $L_1$ and $L_2$ is equal to to acute angle between $L_1$ and $L_3$, then $L_2$ is parallel to $L_3$.
Of these statements:
- ✓$(1)$ and $(2)$ are correct
- B$(1)$ and $(3)$ are correct
- C$(2)$ and $(3)$ are correct
- D$(1), (2)$ and $(3)$ are correct
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Two vertically opposite angles may be unequal
Reason: Two vertically opposite angles can be right angles.
Assertion: Two vertically opposite angles may be unequal
Reason: Two vertically opposite angles can be right angles.
- ABoth Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓Assertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: C.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The sum of the measures of the angles in a linear pair is $180^\circ $.
Reason: when two lines intersect each other at a single point, linear pairs of angles are formed.
Assertion: The sum of the measures of the angles in a linear pair is $180^\circ $.
Reason: when two lines intersect each other at a single point, linear pairs of angles are formed.
- ✓Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The complement of $15^\circ $ is $75^\circ $
Reason: Two angles are said to be complementary if the sum of their measures is $90^\circ $.
Assertion: The complement of $15^\circ $ is $75^\circ $
Reason: Two angles are said to be complementary if the sum of their measures is $90^\circ $.
- ✓Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$
$(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The measure of the supplement of the angle $0^\circ $ is $180^\circ $
Reason: When the sum of the measures of two angles is $180^\circ $, the angles are called supplementary angles.
$(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The measure of the supplement of the angle $0^\circ $ is $180^\circ $
Reason: When the sum of the measures of two angles is $180^\circ $, the angles are called supplementary angles.
- ✓Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- CAssertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: two angles are called adjacent if they have commen vertex
Reason: the adjacent angle have common interior point.
Assertion: two angles are called adjacent if they have commen vertex
Reason: the adjacent angle have common interior point.
- ABoth Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
- ✓Assertion is true but the reason is false.
- DBoth assertion and reason are false.
Answer: C.
View full solution →Both angles of a pair of supplementary angles can never be acute angles.
Two angles making a linear pair are always adjacent angles.
A linear pair may have two acute angles.
Two supplementary angles are always obtuse angles.
One obtuse angle and one acute angle can make a pair of complementary angles.
Sum of interior angles on the same side of transversal of two parallel lines is………… $\left(90^{\circ}, 120^{\circ}, 180^{\circ}\right)$
View full solution →An angle which is double of its supplement is…………. $\left(60^{\circ}, 120^{\circ}, 180^{\circ}\right)$
View full solution →The supplement of an acute angle is always…………...angle. (acute, right, obtuse)
Hands of a clock make a/an………...angle at $6 \ pm$. (acute, straight, obtuse)
View full solution →Hands of a clock make a/an………...angle at $1$ am. (acute. right, obtuse)
View full solution →In the adjoining figure, the vertically opposite angles are:
In the adjoining figure, write the pairs of interior angles on the same side of the transversal.
In the adjoining figure,the pairs of alternate interior angles.
In the adjoining figure, identify the pairs of corresponding angles.
State the property that is used in the statement: If $\angle4 + \angle5 = 180^\circ $, then $a \| b.$
View full solution →In the given figure, the arms of two angles are parallel. If $\angle ABC = 70^\circ$, then find $\angle DGC$
View full solution →Find the value of $x$ in the figures if $l \| m$
View full solution →Find the value of $x$ in the figure below, if $l \| m$
View full solution →In the figure given below:
Are $\angle BOD$ and $\angle DOA$ supplementary?
View full solution →Are $\angle BOD$ and $\angle DOA$ supplementary?
Can two angles be supplementary, if both of them are right?
Three lines shown in the igure intersect each other at point $P.$
Line lis perpendicular to line n.
The measure of $\angle 2$ is $65^\circ .$
$1.$ What is the measure of $\angle 6?$
$2.$ What is the sum of the measure of $\angle 3$ and $\angle 4?$
$A. 95^\circ $
$B. 115^\circ $
$C. 120^\circ $
$D. 155^\circ $
View full solution →Line lis perpendicular to line n.
The measure of $\angle 2$ is $65^\circ .$
$1.$ What is the measure of $\angle 6?$
$2.$ What is the sum of the measure of $\angle 3$ and $\angle 4?$
$A. 95^\circ $
$B. 115^\circ $
$C. 120^\circ $
$D. 155^\circ $
A diagram of a see-saw is given below.
$1.$ State all the pairs of vertically opposite angles in the given figure.
$2.$ Which of the following is a pair of alternate exterior angles?
$A. \angle 1$ and $\angle 4$
$B. \angle 2$ and $\angle 8$
$C. \angle 3$ and $\angle 8$
$D. \angle 4$ and $\angle 6$
View full solution →$1.$ State all the pairs of vertically opposite angles in the given figure.
$2.$ Which of the following is a pair of alternate exterior angles?
$A. \angle 1$ and $\angle 4$
$B. \angle 2$ and $\angle 8$
$C. \angle 3$ and $\angle 8$
$D. \angle 4$ and $\angle 6$
In the igure given below, $AD$ is a straight line. $PS$ and $QR$ are perpendicular to $AD$.
$GH$ is parallel to $IJ$ and $KL$ is parallel to $MN.$
$1.$ What type of angles are $\angle r$ and $\angle t?$
$A.$ Adjacent angles
$B.$ Vertically opposite
$C.$ Corresponding angles
$D.$ Alternate exterior angles
$2.$ The measure of $\angle s = 120^\circ .$
What is the measure of $\angle t?$
$A. 30^\circ $
$B. 60^\circ $
$C. 90^\circ $
$D. 120^\circ $
$3.$ What is the measure of $\angle x?$
$A. 45^\circ $
$B. 60^\circ $
$C. 90^\circ $
$D. 120^\circ $
$4.$ Why are the lines $SP$ and $RQ$ parallel to each other$?$
$5.$ Is $DF$ transversal to $KL$ and $MN?$ Give reason.
$6.$ Which of the following is true for $DE$ and $DF?$
$A.$ They are parallel
$B.$ They intersect at $A$
$C.$ They intersect at $D$
$D.$ They have $AD$ as transversal
View full solution →$GH$ is parallel to $IJ$ and $KL$ is parallel to $MN.$
$1.$ What type of angles are $\angle r$ and $\angle t?$
$A.$ Adjacent angles
$B.$ Vertically opposite
$C.$ Corresponding angles
$D.$ Alternate exterior angles
$2.$ The measure of $\angle s = 120^\circ .$
What is the measure of $\angle t?$
$A. 30^\circ $
$B. 60^\circ $
$C. 90^\circ $
$D. 120^\circ $
$3.$ What is the measure of $\angle x?$
$A. 45^\circ $
$B. 60^\circ $
$C. 90^\circ $
$D. 120^\circ $
$4.$ Why are the lines $SP$ and $RQ$ parallel to each other$?$
$5.$ Is $DF$ transversal to $KL$ and $MN?$ Give reason.
$6.$ Which of the following is true for $DE$ and $DF?$
$A.$ They are parallel
$B.$ They intersect at $A$
$C.$ They intersect at $D$
$D.$ They have $AD$ as transversal
| Section $'A'$ | Section $'B'$ | Answer |
| $( 1 )0^{\circ}$ to $90^{\circ}$ | $( a )$ Zero angle | $(1-$________$)$ |
| $(2) 90^{\circ}$ to $180^{\circ}$ | $( b )$ Right angle | $(2-$________$)$ |
| $( 3 ) 180^{\circ}$ to $360^{\circ}$ | $( c )$ Straight angle | $(3-$________$)$ |
| $(4) O ^{\circ}$ | $(d)$ Obtuse angle | $(4-$________$)$ |
| $( 5 ) 90^{\circ}$ | $(e )$ Acute angle | $(5-$________$)$ |
| $( 6) 180^{\circ}$ | $( f )$ Reflex angle | $(6-$________$)$ |
| $( 7 ) 360^{\circ}$ | $(g)$ Complete angle | $(7-$________$)$ |
In the given figure, decide whether $l$ is parallel to $m.$
View full solution →In the given figure, decide whether $l$ is parallel to $m.$
View full solution →In the given figure, decide whether $l$ is parallel to $m.$
View full solution →In the given figure, decide whether $l$ is parallel to $m.$
View full solution →In the given figure, the arms of two angles are parallel. If $\angle ABC = 70^\circ ,$ then find $\angle DEF$
View full solution →Generate a Lines and Angles paper free
Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.