Find Angle OSQ Angle SOR
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Find Angle OSQ.
In the circle, $OQ$ and $OS$ are radii. Therefore, $OQ = OS$.
This means that $\triangle OQS$ is an isosceles triangle.
In an isosceles triangle, the angles opposite the equal sides are equal: $\angle OQS = \angle OSQ$.
The sum of angles in a triangle is $180^\circ$.
We are given $\angle QOS = 108^\circ$.
$$ \angle QOS + \angle OQS + \angle OSQ = 180^\circ $$
$$ 108^\circ + \angle OSQ + \angle OSQ = 180^\circ $$
$$ 108^\
