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JAMB Mathematics 1992 Question 24

Question 24

Triangles and Quadrilaterals

In the fig. above, TŜP = 105° and PR̂Q = 20°, find PQ̂R

Diagram for this question
  1. A.130°
  2. B.120°
  3. C.75°
  4. D.30°
Show the answer and explanation

Answer: A (130°)

Explanation

Angle PSR = 180° − 105° = 75°. PR = SR (marked), so angle SPR = 75° and angle PRS = 30°. UQ is parallel to SR, so angle QPR = angle PRS = 30°, and in triangle PQR, PQR = 180° − 30° − 20° = 130°.