Question

question
in △qrs, $overline{qr}congoverline{sq}$ and m∠s = 63°. find m∠r.

Explanation:

Step1: Identify isosceles - triangle property

Since $\overline{QR}\cong\overline{SQ}$ in $\triangle QRS$, $\triangle QRS$ is an isosceles triangle. In an isosceles triangle, base - angles are equal. So, $\angle S\cong\angle R$.

Step2: Determine the measure of $\angle R$

Given that $m\angle S = 63^{\circ}$, and $\angle S\cong\angle R$, then $m\angle R=63^{\circ}$.

Answer:

$63^{\circ}$