Class 7 - Lines and Angles Worksheet - 3

1. In the below diagram two straight lines AB and CD intersect at a point O. If ∠BOD = 45°, then find the measure of each other angles.


a) ∠BOC = 125°, ∠AOC = 45°, ∠AOD = 135°
b) ∠BOC = 135°, ∠AOC = 45°, ∠AOD = 135°
c) ∠BOC = 125°, ∠AOC = 55°, ∠AOD = 135°
d) ∠BOC = 135°, ∠AOC = 55°, ∠AOD = 135°

2. Find the value of 'x' in the below given diagram.


a) 16°                      b) 24°
c) 32°                      d) 48°

3. AB and CD are two straight lines intersecting on point O as shown in the below diagram. Find the value of x + y.


a) 160°                      b) 240°
c) 140°                      d) 480°

4. Find the value of 'x' in the below given diagram.


a) 40°                      b) 24°
c) 32°                      d) 60°

5. Find the value of 'x' and 'y' in the below given diagram.


a) x = 105°, y = 110°                      b) x = 105°, y = 100°
c) x = 105°, y = 105°                      d) x = 100°, y = 100°

6. In the below given diagram ∠B = 70°, ∠C = 50° and BC || PAQ. Find the value of 'x' and 'y'.


a) x = 70°, y = 50°                      b) x = 50°, y = 70°
c) x = 60°, y = 70°                      d) x = 75°, y = 45°

7. In the below given diagram, lines y and z are parallel to each other. If ∠1 and ∠2 are in the ratio 5 : 7, then find the measures of all the angles.


a) ∠1 = 75°, ∠2 = 100°, ∠3 = 80°, ∠4 = 100°, ∠5 = 75°, ∠6 = 100°, ∠7 = 80°, ∠8 = 100°
b) ∠1 = 75°, ∠2 = 105°, ∠3 = 75°, ∠4 = 105°, ∠5 = 75°, ∠6 = 105°, ∠7 = 75°, ∠8 = 105°
c) ∠1 = 105°, ∠2 = 75°, ∠3 = 105°, ∠4 = 75°, ∠5 = 105°, ∠6 = 75°, ∠7 = 105°, ∠8 = 75°
d) ∠1 = 80°, ∠2 = 100°, ∠3 = 80°, ∠4 = 100°, ∠5 = 80°, ∠6 = 100°, ∠7 = 80°, ∠8 = 100°

8. In the below diagram AB || CE, ∠BAC = 52° and ∠ECD = 55°. Find the value of ∠ACB.


a) 52°                      b) 45°
c) 62°                      d) 73°

9. In the below given diagram Y and Z are two parallel lines. Mark True / False.


a) True                      b) False

10. In the below given diagram A and B are two parallel lines. Mark True / False.


a) True                      b) False

11. In the below given diagram L ||M and A || B. Find the value of p, q, r and s.


a) p = 75°, q = 105°, r = 75°, s = 100°
b) p = 65°, q = 105°, r = 65°, s = 105°
c) p = 75°, q = 105°, r = 75°, s = 105°
d) p = 80°, q = 100°, r = 80°, s = 100°

12. Pair of vertically opposite angles are always supplementary. Mark True / False.

a) True                      b) False

13. Two adjacent angles always form a linear pair. Mark True / False.

a) True                      b) False

14. If two lines are cut by a transversal, then each pair of corresponding angles are not equal. Mark True / False.

a) True                      b) False

15. Corresponding angles are opposite side of the transversal. Mark True / False.

a) True                      b) False

16. Alternate interior angles are on the same side of the transversal. Mark True / False.

a) True                      b) False

17. If two adjacent angles are supplementary, then they form a linear pair. Mark True / False.

a) True                      b) False

18. Two lines in a plain which never meet are known as __________.

a) Transversal              b) Linear
c) Parallel                     d) Adjacent

19. If a transversal cuts two parallel lines, then each pair of corresponding angles are equal. Mark True / False.

a) True                      b) False

20. If a transversal cuts two parallel lines, then each pair of co-interior angles are not supplementary. Mark True / False.

a) True                      b) False

If you want to download the above worksheet, please click below link.

Lines and Angles Worksheet-3Download the pdf

Lines and Angles Worksheet - 1

Lines and Angles Worksheet - 2

Lines and Angles Worksheet - 3

Answer Sheet

Lines-Angles-AnswerDownload the pdf

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