End-of-Chapter Exercises
End-of-Chapter Exercises
Last updated at May 26, 2026 by Teachoo
Transcript
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°