In the figure, PQRS is a cyclic quadrilateral. Find the value of x.
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Answer:
Sum of either pair of opposite angles of a cyclic quadrilateral is 180°.
Sum of angles of ∆PRS = 180°
angle S + angle R + angle P =
180°
Angle S + 35° + 50° = 180°
Angle S = 180° - 85°
Angle S = 95°
Angle S + Angle Q = 180°
Angle Q = 180°- 95°
Angle Q = 85°
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