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Question 7 ABCD is a cyclic quadrilateral inscribed in a circle. If ∠A measures 75^∘, what is the measure of ∠C? If ∠B measures 110^∘, what is the measure of ∠D ? In a cyclic quadrilateral Opposite angles are supplementary Thus, ∠ A + ∠ C = 180° 75° + ∠ C = 180° ∠ C = 180° – 75° ∠ C = 105° And, ∠ B + ∠ D = 180° 110° + ∠ D = 180° ∠ D = 180° – 110° ∠ D = 70° ∠ B + ∠ D = 180° 110° + ∠ D = 180° ∠ D = 180° – 110° ∠ D = 70°

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Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

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