Question 21

S is the incenter of $$\triangle PQR$$. If $$\angle PSR = 125^\circ$$, then the measure of $$\angle PQR$$ is:

Solution

$$\angle PSR = 90^\circ + \angle PQR/2$$
$$125^\circ = 90^\circ + \angle PQR/2$$
$$\angle PQR = 35^\circ \times 2$$
$$\angle PQR = 70^\circ$$


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