Question

answer this question plz??​

Answer 1

Answer:

Angle POQ = 75 degree

Angle ROQ = 105 degree

Angle ROQ = 75 degree

Angle POS = 105 degree

Step-by-step explanation:

PQ is a straight line

therefore angle on a straight line is 180 degree

as Angle POQ : Angle ROQ = 5 : 7

let us write them as

Angle POQ = 5x & Angle ROQ = 7x

as we know that angle on a straight line is 180 degree

Angle POQ + Angle ROQ = 180 degree

therefore

5x + 7x = 180 degree

12x = 180 degree

x = 180/12

therefor,

x = 15

so now

Angle POQ = 5x = 5*15 = 75 degree

Angle ROQ = 7X = 7*15 = 105 degree

Angle ROS = Angle POQ = 75 degree

(as they both are vertically opposite angle they are equal)

Angle POS = Angle ROQ = 105 degree

(as these both are also vertically opposite angle they are equal)

hope this helps

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