WAEC Mathematics 2014 Objective — Question 20

Question 20 of 50 from the West African Examinations Council (WAEC) Mathematics 2014 Objective paper, with the correct answer and a full explanation.

In the diagram, PQR is a straight line, (m°+n°)=120° and (n+r)°=100°. Find (m+r)°.

• A. 110°
• B. 120°
• C. 140°Correct
• D. 160°

Explanation

Since PQR is a straight line, m°+n°+r°=180°. From m°+n°=120°, r°=60°. From n°+r°=100°, m°=80°. So m°+r°=80°+60°=140°.

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