passwella.
Menu

WAEC Mathematics 1994 Question 34

Question 34

Triangles and Quadrilaterals

In the diagram, PQ||RS and the angles are as shown. Find x.

Diagram for this question
  1. A.145°
  2. B.150°
  3. C.155°
  4. D.160°
  5. E.165°
Show the answer and explanation

Answer: E (165°)

Explanation

Draw a line through T parallel to PQ. It splits the 55° angle into 180° − 140° = 40° and 180° − x. So 40° + (180° − x) = 55°, giving x = 165°.