passwella.
Menu

WAEC Mathematics 1992 Question 24

Question 24

Angles and Polygons

In the diagram below, ML//PQ and NP//QR. If ∠LMN = 40° and ∠MNP = 55°. Find ∠QPR

Diagram for this question
  1. A.15°
  2. B.25°
  3. C.35°
  4. D.40°
  5. E.55°
Show the answer and explanation

Answer: A (15°)

Explanation

Draw a line through N parallel to ML and PQ: it splits the 55° angle into 40° (alternate to ∠LMN) and 15°, so NP makes 15° with PQ. Since QR is parallel to NP, the angle between QR and PQ is also 15°.