Question

In the fig., lines PQ and RS intersect each other at point 0. If ZPOR: ZROQ = 5:7,
find all the angles.

Answer 1

Answer:

P,Q,R,S - 5:4 intersect each other points at 2

Answer 2

Answer:

Since angle POR: angle ROQ=5:7

Let the ratio be 5x:7x

POR+ROQ=180 (Linear pair)

5x+7x=180

12x=180

x=15

Therefore angle POR=5x

=5×15

=75=angle POR

And angle ROQ=7x

=7×15

=105=angle ROQ

Angle POS = Angle ROW (Vertically opposite angle)

Angle POS= 105

ANGLE SOQ= ANGLE POR (V.O.A)

ANGLE SOQ = 75

I HOPE THIS HELPS YOU