Question

right triangles lmn and pqr are similar, where l and m correspond to p and q, respectively. angle m has a measure of 53°. what is the measure of angle q?
a) 37°
b) 53°
c) 127°
d) 143°

Explanation:

Step1: Recall property of similar triangles

Corresponding angles of similar triangles are equal.

Step2: Identify corresponding angles

Since $\triangle LMN$ and $\triangle PQR$ are similar and $M$ corresponds to $Q$, $\angle M=\angle Q$.

Step3: Determine angle measure

Given $\angle M = 53^{\circ}$, so $\angle Q=53^{\circ}$.

Answer:

B. $53^{\circ}$