WAEC Mathematics 2019 Objective — Question 42

Question 42 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

42. In the diagram above, PQ is parallel to RS, ∠QFG=105° and ∠FEG=50°. Use the diagram to answer this question. Find the value of m°.

• A. 130°
• B. 105°
• C. 75°
• D. 55°Correct

Explanation

∠GFQ+∠EFG=180° (angles on a straight line) ⇒ ∠EFG=75°. In triangle EFG: m°+50°+75°=180° (sum of angles in a triangle) ⇒ m°=180−125=55°.

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