WAEC Mathematics 2019 Objective — Question 43

Question 43 of 145 from the West African Examinations Council (WAEC) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

43. 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 n°.

A. 40°
B. 55°
C. 75°Correct
D. 130°

Explanation

∠FGS=∠EFG=75° (alternate angles are equal, since PQ∥RS). n°=75° (vertically opposite angles are equal).

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