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JAMB Mathematics 1986 Question 43

Question 43

Angles and Polygons

In the figure above, PQ∥ST, RS∥UV. If PQR = 35° and QRS = 65°, find STV.

Diagram for this question
  1. A.30°
  2. B.35°
  3. C.55°
  4. D.65°
Show the answer and explanation

Answer: A (30°)

Explanation

Draw a line through R parallel to PQ. It splits the 65° angle at R into 35° (alternate to angle PQR) and 30°. The parallel lines ST and UV carry that 30° across to angle STV.