MCQ Questions for Class 9 Maths Chapter 6 Lines and Angles with Answers

MCQ Questions for Class 9 Maths Chapter 6 Lines and Angles with Answers

MCQs from Class 9 Maths Chapter 6 – Lines and Angles are provided here to help students prepare for their upcoming Maths exam.

MCQs from CBSE Class 9 Maths Chapter 6: Lines and Angles

1. Intersecting lines cut each other at:
a) One point
b) Two points
c) Three points
d) Null

Explanation: Two lines always intersect each other at one point.

2. Two parallel lines intersect at:
a) One point
b) Two points
c) Three points
d) Null

Explanation: If two lines are parallel to each other, they don’t intersect each other. They meet each other at infinity.

3. If AB || CD, EF ⊥ CD and ∠GED = 135° as per the figure given below.

The value of ∠AGE is:
a) 120°
b) 140°
c) 90°
d) 135°

Explanation: Since AB || CD and GE is a transversal.

Given, ∠GED = 135°

Hence, ∠GED = ∠AGE = 126° (Alternate interior angles)

4. If two lines intersect each other, then the vertically opposite angles are:
a) Equal
b) Unequal
c) Cannot be determined
d) None of the above

Explanation: If two lines intersect each other, then the angles formed at the point of intersection are vertically equal.

5. A line joining two endpoints are called:
a) Line segment
b) A ray
c) Parallel lines
d) Intersecting lines

(a)

6. An acute angle is:
a) More than 90 degrees
b) Less than 90 degrees
c) Equal to 90 degrees
d) Equal to 180 degrees

(b)

7. A reflex angle is:
a) More than 90 degrees
b) Equal to 90 degrees
c) More than 180 degrees
d) Equal to 180 degrees

(c)

8. A straight angle is equal to:
a) 0°
b) 90°
c) 180°
d) 360°

(c)

9. Two angles whose sum is equal to 180° are called:
a) Vertically opposite angles
b) Complementary angles
d) Supplementary angles

(d)

10. In the figure below, which of the following are corresponding angle pairs:

a) ∠p and ∠q
b) ∠p and ∠w
c) ∠p and ∠x
d) ∠p and ∠z

(b)

11. Value of x in the figure below is:

a) 20o
b) 40o
c) 80o
d) 160o

(b)

12. If two complementary angles are in the ratio 13 : 5, then the angles are:
a) 13xo, 5xo
b) 25o, 65o
c) 65o, 25o
d) 65o, 35o

(c)

13. The diagonals of the rectangle ABCD intersect at O. If ∠COD = 78°, then ∠OAB is:
a) 35o
b) 51o
c) 70o
d) 110o

(b)

14. If AB = x + 3, BC = 2x and AC = 4x – 5, then for what value of ‘x’, B lies on AC?
a) 2
b) 3
c) 5
d) 8

(d)

15. In the given figure, find the value of x:

a) 40o
b) 50o
c) 60o
d) 80o

(b)

16. In the given figure, if the angles a and b are in the ratio 2 : 3, then angle c is:

a) 90o
b)126o
c) 144o
d) Obtuse angle

(c)

17. In the given figure, ∠1 = ∠2 then the measurements of ∠3 and ∠4 are:

a) 58o, 61o
b) 61o, 61o
c) 119o, 61o
d) 119o, 119o

(d)

18. In the figure, if xy and z are exterior angles of ΔABC then x + y + is:

a) 90o
b) 180o
c) 270o
d) 360o

(d)

19. In the figure, p || q. The value of x is:

a) 35o
b) 55o
c) 70o
d) 110o

(b)

20. In the given figure, if ∠ AOC = 50° then (∠AOD + ∠COB) is equal to:

a) 100o
b) 130o
c) 140o
d) 260o

(d)

21. In the given figure, ABCD is a rectangle in which ∠APB = 100°. The value of x is:

a) 40o
b) 50o
c) 60o
d) 70o

(b)

22. In the given figure, AB || CD then value of x is:

a) 45o
b) 60o
c) 90o
d) 105o

(a)

23. In the given figure, PQ || RS and ∠ACS = 127°, ∠BAC is:

a) 50o
b) 53o
c) 77o
d) 107o

(c)

24. In figure, AB || ED, the value of x is:

a) 26o
b) 36o
c) 54o
d) 62o

(a)

25. In the given figure, if AOB is a line then the measure of ∠BOC, ∠COD and ∠DOA respectively are:

a) 36o, 54o, 90o
b) 36o, 90o, 54o
c) 90o, 36o, 54o
d) 90o, 54o, 36o