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WAEC Mathematics 2022 Paper

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Question : 28

Total: 47

In the diagram, MNR is a tangent to the circle centre O at N and ∠NOS = 108°. Find ∠OSN

72°
32°
36°
18°

Solution:

The sum of angles in a triangle = 180º

(180 - 108)º = 72º

Isosceles triangle has both two equal sides and two equal angles.

∠OSN = ∠SON = $\; \frac{72}{2}$

= 36º

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