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75°
Step-by-step explanation:
AB = CD,
so, OP = OQ,
So, ΔPOQ is a isoceles triangle
So, ∠QPO = ∠PQO
So, ∠QPO + ∠PQO + ∠POQ = 180°(sum of internal angles in a triangle)
2∠QPO +150° = 180°
2∠QPO = 30°
∠QPO = 15°
So, ∠QPO + ∠OPB + ∠APQ = 180°
15° + 90° + ∠APQ = 180°
∠APQ = 180° - 15° - 90°
∠APQ = 75°
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