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what is the measure of $angle r$? a. $40^circ$ b. $32^circ$ c. $64^circ…

Question

what is the measure of $angle r$?
a. $40^circ$
b. $32^circ$
c. $64^circ$
d. cannot be determined

Explanation:

Step1: Identify triangle type

The triangle has sides $PQ = QR = 8$, so it is isosceles with $\angle P = \angle R$.

Step2: Match angle measure

Given $\angle P = 32^\circ$, so $\angle R = \angle P$.
<Expression>$\angle R = 32^\circ$</Expression>

Answer:

B. $32^\circ$