In the diagram, MNR is a tangent to the circle centre O at N and...
MATHEMATICS
WAEC 2022
In the diagram, MNR is a tangent to the circle centre O at N and ∠NOS = 108°. Find ∠OSN
- A. 72°
- B. 32°
- C. 36°
- D. 18°
Correct Answer: C. 36°
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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