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

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

Answer Details

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 = 722 $\frac{\mathrm{<br>}}{}$

= 36º