WAEC - Mathematics (2022 - No. 28)

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

72°
32°
36°
18°

Explanation

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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