Question

In given figure, lines PQ and RS intersect each other at point O. If anglePOR: angleROQ is
5: 15. Then, find the angle of angleSOQ.​

Answer 1

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Answer 2

Answer:

100°

Step-by-step explanation:

Given:PQ and RS intersect each other at point Of

POR:ROQ=5:15

To Find :Angle SOQ

Let the ratio between PQ and RS be x

Therefore,

POR+ROQ=180°

5x+15x=180°

20x=180

x=180/20

x=90°

Therefore,

POR=5x=20×5=100

POR=SOQ(opposite angles are always equal)

Since angle SOQ=100°