Chapter 6 – Lines and Angles – Ankit Enterprises

1. Intersecting lines cut each other at:

a) One point
b) Two points
c) Three points
d) Null

2. Two parallel lines intersect at:

a) One point
b) Two points
c) Three points
d) Null

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°

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

5. A line joining two endpoints are called:

a) Line segment
b) A ray
c) Parallel lines
d) Intersecting lines

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

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

8. A straight angle is equal to:

a) 0°
b) 90°
c) 180°
d) 360°

9. Two angles whose sum is equal to 180° are called:

a) Vertically opposite angles
b) Complementary angles
c) Adjacent angles
d) Supplementary angles

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

11. Value of x in the figure below is:

a) 20°
b) 40°
c) 80°
d) 160°

12. If two complementary angles are in the ratio 13 : 5, then the angles are:

a) 13x°, 5x°
b) 25°, 65°
c) 65°, 25°
d) 65°, 35°

13. The diagonals of the rectangle ABCD intersect at O. If ∠COD = 78°, then ∠OAB is:

a) 35°
b) 51°
c) 70°
d) 110°

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

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

a) 40°
b) 50°
c) 60°
d) 80°

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

a) 90°
b)126°
c) 144°
d) Obtuse angle

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

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

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

a) 90°
b) 180°
c) 270°
d) 360°

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

a) 35°
b) 55°
c) 70°
d) 110°

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

a) 100°
b) 130°
c) 140°
d) 260°

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

a) 40°
b) 50°
c) 60°
d) 70°

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

a) 45°
b) 60°
c) 90°
d) 105°

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

a) 50°
b) 53°
c) 77°
d) 107°

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

a) 26°
b) 36°
c) 54°
d) 62°

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

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

26 In a right-angled triangle where angle A = 90° and AB = AC. What are the values of angle B?

(a) 45°
(b) 35°
(c) 75°
(d) 65°

27 In a triangle ABC if ∠A = 53° and ∠C = 44° then the value of ∠B is:

(a) 46°
(b) 83°
(c) 93°
(d) 73°

28 Given four points such that no three of them are collinear, then the number of lines that can be drawn through them are:

(a) 4 lines
(b) 8 lines
(c) 6 lines
(d) 2 lines

29 If one angle of triangle is equal to the sum of the other two angles then triangle is :

(a) Acute triangle
(b) Obtuse triangle
(c) Right triangle
(d) None of these

Q 30 How many degrees are there in an angle which equals one-fifth of its supplement?

(a) 15°
(b) 30°
(c) 75°
(d) 150°

Chapter 6 – Lines and Angles

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