Question

In the given figure -1,PQ and RS interest each other at point 0. ∆POR : ROQ=2:3, find ∆ ROQ.​

Answer 1

∠POR:∠ROQ = 2:3

So,

∠POR = 2x

∠ROQ = 3x

We know that ∠POR + ∠ROQ = 180* (Linear Pair)

2x + 3x = 180

5x = 180

x = 180/5

x = 36

So,

∠ROQ = 3x = 3*36 = 108

Hope this Helped! ヾ(•ω•`)o