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UI Post-UTME Mathematics 2022 (Model questions) Question 12

Question 12

Triangles and Quadrilaterals

From the diagram above, find the value of angle AD̂C

Diagram for this question
  1. A.88°
  2. B.110°
  3. C.92°
  4. D.77°
Show the answer and explanation

Answer: C (92°)

Explanation

ABCD is a cyclic quadrilateral. The exterior angle PB̂C (92°) equals the interior opposite angle AD̂C, so AD̂C = 92°.