passwella.
Menu

WAEC Mathematics 2019 Question 44

Question 44

Angles and Polygons

In the diagram, PQ is parallel to RS, ∠QFG = 105° and ∠FEG = 50°. Find the value of m.

Diagram for this question
  1. A.130°
  2. B.105°
  3. C.75°
  4. D.55°
Show the answer and explanation

Answer: D (55°)

Explanation

∠QFG is an exterior angle of triangle EFG, so it equals the two opposite interior angles: 50° + m = 105°, giving m = 55°.