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WAEC Mathematics 2024 Theory — Question 11

Question 11 of 13 from the West African Examinations Council (WAEC) Mathematics 2024 Theory paper, with the correct answer and a full explanation.

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11. (a) Find the equation of the line that passes through the origin and the point of intersection of the lines x + 2y = 7 and x - y = 4. (b) The ratio of an interior angle to an exterior angle of a regular polygon is 4 : 1. Find the: (i) number of sides; (ii) value of the exterior angle; (iii) sum of the interior angles of the polygon.

Model answer

(a) y = x/5 (or 5y - x = 0) (b)(i) n = 10 (b)(ii) Exterior angle = 36° (b)(iii) Sum of interior angles = 1,440°

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