Question

In a figure, lines PQ and RS intersect each other at point O. If ∠por ∶ ∠roq is 5 ∶ 15. Then, find the angle of ∠.soq║×║

Answer 1

Answer:

∠POR + ∠ROQ = 180° (Linear pairs of lines)

Given, ∠POR ∶ ∠ROQ = 5: 15

Therefore, ∠POR =

5/20× 180° = 45°

Similarly, ∠ROQ =15/20× 180° = 135°

Now, ∠POS = ∠ROQ° = 135° (Vertically opposite)

and ∠SOQ = ∠POR = 45° (Vertically opposite)