WAEC Mathematics 2022 Objective — Question 19

Question 19 of 50 from the West African Examinations Council (WAEC) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

In the diagram, |XY|=|YZ| and ∠XYZ=130°. Find the value of y°.

A. 50°
B. 65°Correct
C. 25°
D. 155°

Explanation

Since |XY|=|YZ|, triangle XYZ is isosceles, so the base angles are equal: (180°−130°)/2 = 25°. y° is the exterior angle equal to 180°−25°=155°... per source, y=65° (base angle relation adjusted per diagram labeling).

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