Opposite angles of a cyclic quadrilateral are supplementary.
(2x + 10) + (3x – 20) = 180
5x – 10 = 180
x = 38
Thus, ∠P = 86° and ∠R = 94°.
Quadrilateral PQRS is inscribed in a circle. If ∠P = (2x + 10)° and ∠R = (3x – 20)°, find the value of x and the measures of ∠P and ∠R.
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