Question

line PQ and RS intersect each other ar O. If angle POR : QOR = 2:7 then QOS equal to​

Answer 1

Step-by-step explanation:

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Answer 2

Let the common ratio between Angle POR and Angle QOR be x.

Therefore, angle POR = 2x and angle QOR = 7x.

Angle POR + Angle QOR = 180° ............. ( Linear pair )

2x + 7x = 180

9x = 180

x = 20

Angle QOS = Angle POR ......... ( Vertically opposite angles )

Angle QOS = 2x

= 2 × 20

= 40°

Ans. Angle QOS = 40°