Question

if pq = ps = 56 and m∠prs = 70°, what is m∠prq? m∠prq =

Explanation:

Step1: Recall right - triangle congruence

Since $PQ = PS$, $PR$ is common, and $\angle PSR=\angle PQR = 90^{\circ}$, right - triangles $\triangle PSR$ and $\triangle PQR$ are congruent by the Hypotenuse - Leg (HL) congruence criterion.

Step2: Use congruent - angle property

If $\triangle PSR\cong\triangle PQR$, then $\angle PRS=\angle PRQ$.

Step3: Find the angle measure

Given $\angle PRS = 70^{\circ}$, so $\angle PRQ=70^{\circ}$.

Answer:

$70$