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Question
In a cyclic quadrilateral ABCD , AB || CD and ∠ B = 65 ° , find the remaining angles
Solution
PQ is a diameter of the circle
∴ CPRQ = 90° (angle is a semi cirde)
∠ RPQ = 40° (given)
In Δ PQR,
∠ PRQ + ∠ RQP + ∠ QPR = 180 (Angle sum property)
90 + ∠ RQP + 40 = 180
∠ RQP = 50 °
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