Question types

Lines and Angles question types

123 questions across 7 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

123
Questions
7
Question groups
5
Question types
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.

Q 13[3 marks sum]3 Marks
In the given figure, $AB \| CD$. If $\angle BAC =(3 x+15)^{\circ}$ and $\angle ACD =(2 x+45)^{\circ}$, find the value of $x$.
Also, find the measures of $\angle BAC$ and $\angle ACD$.
Image
View full solution
Q 14[3 marks sum]3 Marks
In the given figure, $AB \| CD$. If $\angle BAC =(3 x+15)^{\circ}$ and $\angle ACD =(2 x+45)^{\circ}$, find the value of $x$.
Also, find the measures of $\angle BAC$ and $\angle ACD$.
Image
View full solution
Q 15[3 marks sum]3 Marks
In the given figure, $AB \| CD$. If $\angle BAC =(3 x+15)^{\circ}$ and $\angle ACD =(2 x+45)^{\circ}$, find the value of $x$.
Also, find the measures of $\angle BAC$ and $\angle ACD$.
Image
View full solution
Q 16[4 marks sum]4 Marks
View full solution
Q 17[4 marks sum]4 Marks
Two lines $A B$ and $C D$ are cut by a transversal $E F$, as shown in the figure. Identify the given pair of angles as adjacent angles, vertically opposite angles, alternate angles, corresponding angles or co-interior angles.
Image
(i) $\angle 6$ and $\angle 7$
(ii) $\angle 3$ and $\angle 4$
(iii) $\angle 4$ and $\angle 8$
(iv) $\angle 1$ and $\angle 5$
(v) $\angle 3$ and $\angle 5$
(vi) $\angle 2$ and $\angle 4$
(vii) $\angle 4$ and $\angle 5$
(viii) $\angle 2$ and $\angle 7$
(ix) $\angle 3$ and $\angle 6$
(x) $\angle 4$ and $\angle 6$
(xi) $\angle 2$ and $\angle 6$
(xii) $\angle 1$ and $\angle 4$
View full solution
Q 30MCQ1 Mark
The value of x in the given figure is
Image
  • A
    $24^{\circ}$
  • $28^{\circ}$
  • C
    $36^{\circ}$
  • D
    $42^{\circ}$

Answer: B.

View full solution
Q 31MCQ1 Mark
An angle is 80° less than three times its supplement. The angle is
  • A
    $75^{\circ}$
  • B
    $85^{\circ}$
  • C
    $105^{\circ}$
  • $115^{\circ}$

Answer: D.

View full solution
Q 32MCQ1 Mark
The measures of two supplementary angles are in the ratio 4: 11. What is the measure of the greater angle?
  • A
    $106^{\circ}$
  • B
    $121^{\circ}$
  • $132^{\circ}$
  • D
    $154^{\circ}$

Answer: C.

View full solution
Q 33MCQ1 Mark
The measures of two complementary angles are in the ratio 1: 5. What is the measure of the smaller angle?
  • $15^{\circ}$
  • B
    $20^{\circ}$
  • C
    $25^{\circ}$
  • D
    $30^{\circ}$

Answer: A.

View full solution
Q 34MCQ1 Mark
A pair of complementary angles is
  • A
    $42^{\circ} 16^{\prime}, 47^{\circ} 34^{\prime}$
  • $34^{\circ} 10^{\prime}, 55^{\circ} 50^{\prime}$
  • C
    $53^{\circ} 27^{\prime}, 29^{\circ} 33^{\prime}$
  • D
    $19^{\circ} 26^{\prime}, 70^{\circ} 36^{\prime}$

Answer: B.

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.

Download App