JAMB Mathematics 2008 Objective — Question 28

Question 28 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2008 Objective paper, with the correct answer and a full explanation.

In the diagram above, angle OPQ is 90, angle O is 74. In the diagram above, angle OPQ is

• A. 90
• B. 53Correct
• C. 36
• D. 26

Explanation

OQ=OP (radii), so triangle OPQ is an isosceles triangle. Therefore angle OPQ = angle OQP = x. 74 + angle OPQ + angle OQR = 180 (sum of angles in a triangle). 74+2x=180. x=53 degrees.

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