Question

If figure given lines pQ and RQ intersect each other at point O if Angle Por:angle Roq =5:7 find all the angles

Answer 1

Answer:

Since Angle POR : Angle ROQ = 5:7

Let 5:7 be 5x:7x

ATQ

5x + 7x = 180. (Linear Pair)

12x = 180

x= 180/12

x = 15°

Now,

Angle POR = 5x = 75°

Angle ROQ = 7x = 105°

Angle POS = Angle ROQ = 105° ( V.O.A) and

Angle SOQ = Angle POR = 75° (V.O.A)