Question

In the figure, lines PQ and RS intersect each other at a point O. If ∠POR : ∠ROQ = 5 : 7, Find all the angles

Answer 1

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Step-by-step explanation:

Let angle POR =5X and angle ROQ =7X

Then 5X +7X =180 degree as POQ is a straight angle

so 12X = 180 degree

X = 15 degree

So angle POR =angle QOS=75Degree

and angle ROQ= Angle POS =105 Degree as opposite angles are equal.