passwella.
Menu

JAMB Mathematics 1979 Question 18

Question 18

Angles and Polygons

In the figure below PQ is parallel to SR QS bisects <PSR, <PQS is 65° and <RPS is 20°. What is the size of <PRS?

Diagram for this question
  1. A.45°
  2. B.35°
  3. C.40°
  4. D.30°
  5. E.42°.
Show the answer and explanation

Answer: D (30°)

Explanation

PQ ∥ SR, so <QSR = <PQS = 65° (alternate angles), and since QS bisects <PSR, <PSR = 130°. In triangle PRS, <PRS = 180° − 130° − 20° = 30°.