WAEC Mathematics 2014 Objective — Question 15

Question 15 of 50 from the West African Examinations Council (WAEC) Mathematics 2014 Objective paper, with the correct answer and a full explanation.

In the diagram, ∠QPT=∠PTS=90°, ∠PQR=110° and ∠TSR=20°. Find the size of the obtuse angle QRS.

• A. 140°
• B. 130°Correct
• C. 120°
• D. 110°

Explanation

Using angle sum properties of the quadrilateral/triangles formed: ∠PRQ=50°, so ∠QRS=180°−50°=130°.

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