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 triangles LMN and PQR are similar and M corresponds to Q, angle M = angle Q.

Step3: Determine angle Q

Given angle M = 53°, so angle Q = 53°.

Answer:

B. 53°