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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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