WAEC Mathematics 2013 Objective — Question 21

Question 21 of 50 from the West African Examinations Council (WAEC) Mathematics 2013 Objective paper, with the correct answer and a full explanation.

The diagram above is a circle centre O. If ∠SPR=2m° and ∠SQR=n°, express m° in terms of n°.

• A. m=n/2Correct
• B. m=2n
• C. m=n−2
• D. m=n+2

Explanation

∠SPR and ∠SQR are angles subtended by the same arc SR at the circumference, so they are equal: 2m°=n°, giving m=n/2.

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