In quadrilateral PQRS, if ∠P = 60° and ∠Q : ∠R : ∠S = 7 : 3 : 5, then find the measure of ∠S.
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Answer : 100°
Step-by-step explanation :
Angle sum property of a quadrilateral is that all angles of a quadrilateral always sum up to 360 degrees.
So, let is take the value of ∠Q = 7x, ∠R = 3x and ∠S = 5x
60 + 7x + 3x + 5x = 360
15x = 300
x = 20
The value of ∠S = 5(x) = 5(20) = 100
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