JAMB Mathematics 1988 Question 31

Question 31

Angles and Polygons

In the figure above, PQ is parallel to ST and QR̂S = 40°. Find the value of x

Diagram for this question
  1. A.55
  2. B.60
  3. C.65
  4. D.75
Show the answer and explanation

Answer: A (55)

Explanation

Following the turns of the path P–Q–R–S–T between the parallel lines gives 3x + x − 40° = 180°. So 4x = 220° and x = 55°.