Chapter 6 – Lines and Angles

1. Intersecting lines cut each other at:

2. Two parallel lines intersect at:

3. If AB || CD, EF ⊥ CD and ∠GED = 135° as per the figure given below.The value of ∠AGE is:

4. If two lines intersect each other, then the vertically opposite angles are:

5. A line joining two endpoints are called:

6. An acute angle is:

7. A reflex angle is:

8. A straight angle is equal to:

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

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

11. Value of x in the figure below is:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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