The sum of an angle and one third of its supplementary angle is $90^{\circ}$. The measure of the angle is:
- A$135^{\circ}$
- B$120^{\circ}$
- C$60^{\circ}$
- ✓$45^{\circ}$
Answer: D.
View full solution →Question types
Lines and Angles question types
206 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
206
Questions
5
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
70 Q→021 Marks Question
32 Q→032 Marks Questions
46 Q→045 Marks Questions
20 Q→053 Marks Question
38 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.
In Fig. the value of $x$ is:
- A$75$
- ✓$65$
- C$45$
- D$55$
Answer: B.
View full solution →In Fig. if $AOB$ and $COD$ are straight lines, then:
- A$x = 29, y = 100$
- B$x = 110, y = 29$
- ✓$x = 29, y = 110$
- D$x = 39, y = 110$
Answer: C.
View full solution →If angles of a linear pair are equal, then the measure of each angle is:
- A$30^\circ $
- B$45^\circ$
- C$60^\circ$
- ✓$90^\circ$
Answer: D.
View full solution →In Fig. $AB || CD$ and $EF$ is a transversal. The value of $y - x$ is:
- A$30$
- ✓$35$
- C$95$
- D$25$
Answer: B.
View full solution →Identify the complementary and supplementary pairs of angle from the following pair:
$63^\circ , 27^\circ $
View full solution →$63^\circ , 27^\circ $
Identify the complementary and supplementary pairs of angle from the following pair:
$25^\circ , 65^\circ $
View full solution →$25^\circ , 65^\circ $
In figure, name all the pairs of adjacent angles.
Find the supplement of the following angle: $135^\circ $
View full solution →In Figure, $\ce{A, B, C}$ are collinear points and $\angle\text{DBA}=\angle\text{EBA}$
$i.$ Name two linear pairs.
$ii.$ Name two pairs of supplementary angles.
View full solution →$i.$ Name two linear pairs.
$ii.$ Name two pairs of supplementary angles.
Find the value of $x$ in the following figure.
View full solution →In Figure, state which lines are parallel and why?
Find the value of $x$ in the following figure.
View full solution →Find the value of $x$ in the following figure.
View full solution →In Figure, lines $l_1$ and $l_2$ intersect at $O$, forming angles as shown in the figure. If $x = 45^\circ $, find the values of $y, z$ and $u$.
View full solution →In Fig. $A B \| C D$ and $A C \| B D$. Find the values of $x, y, z$.
View full solution →In Fig.$A B \| C D$ and $A E \| C F ; \angle F C G=90^{\circ}$ and $\angle B A C=120^{\circ}$. Find the values of $x, y$ and $z$.
View full solution →In Fig. $P Q \| R S$. Find the value of $x$.
View full solution →In Fig.side $B C$ of $\triangle A B C$ has been produced to $D$ and $C E \| B A$. If $\angle A B C=65^{\circ}$, $\angle B A C=55^{\circ}$, find $\angle A C E, \angle E C D$ and $\angle A C D$.
View full solution →In Fig.we have
(i)$\angle M L Y=2 \angle L M Q$, find $\angle L M Q$.
(ii) $\angle X L M=(2 x-10)^{\circ}$ and $\angle L M Q=x+30^{\circ}$, find $x$.
(iii) $\angle X L M=\angle P M L$, find $\angle A L Y$
(iv) $\angle A L Y=(2 x-15)^{\circ}, \angle L M Q=(x+40)^{\circ}$, find $x$
View full solution →(i)$\angle M L Y=2 \angle L M Q$, find $\angle L M Q$.
(ii) $\angle X L M=(2 x-10)^{\circ}$ and $\angle L M Q=x+30^{\circ}$, find $x$.
(iii) $\angle X L M=\angle P M L$, find $\angle A L Y$
(iv) $\angle A L Y=(2 x-15)^{\circ}, \angle L M Q=(x+40)^{\circ}$, find $x$
In Figure, $AB\ ||\ CD$ and $AC\ ||\ BD$. Find the values of $x, y, z$.
View full solution →In Fig., it being given that $\angle1 = 65^\circ,$ find all the other angles.
View full solution →In Figure, find $\angle \text{x}.$ Further find $\angle \text{BOC}, \angle \text{COD}, \text{ and }\angle \text{AOD}$
View full solution →In Figure, $OE$ is the bisector of $\angle \text{BOD}.$ If $\angle1 =70^\circ,$ Find the magnitude of $\angle2, \angle3, \angle4$ 
View full solution →If two supplementary angles have equal measure, what is the measure of each angle?
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.