JAMB Mathematics 1984 Question 38

Question 38

Triangles and Quadrilaterals

In the figure below, determine the angle marked y

Diagram for this question
  1. A.66°
  2. B.110°
  3. C.26°
  4. D.70°
  5. E.44°.
Show the answer and explanation

Answer: A (66°)

Explanation

QTSR is cyclic, so the exterior angle <PQT = 70° equals the opposite interior angle <TSR. In triangle PRS, y = 180° − 44° − 70° = 66°.