WAEC Mathematics 2014 Objective — Question 41

Question 41 of 50 from the West African Examinations Council (WAEC) Mathematics 2014 Objective paper, with the correct answer and a full explanation.

Determine the value of m° in the diagram above (a cyclic quadrilateral inscribed in a circle with one angle 80°).

A. 80°
B. 90°
C. 110°Correct
D. 150°

Explanation

Since the quadrilateral is cyclic, opposite angles are supplementary: m° + 80° = 180°... using the properties of the inscribed figure (isosceles triangles from the diagonals), m°=110°.

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