WAEC Mathematics 2023 Objective — Question 30

Question 30 of 50 from the West African Examinations Council (WAEC) Mathematics 2023 Objective paper, with the correct answer and a full explanation.

In the diagram, NR is a diameter, ∠MNR=x° and ∠SRN=(5x+20)°. Find the value of 2x.

• A. 20°Correct
• B. 35°
• C. 42°
• D. 20°

Explanation

Since NR is a diameter, ∠NMR=90° (angle in a semicircle). Using the relevant angle relationships in the diagram, 7x+20=90 → 7x=70 → x=10, so 2x=20°.

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