The triangles shown are congruent. Find the measure of angle P.

Question

triangle M L K is congruent to triangle R Q P
There are two triangles. In triangle M L K, angle L has a measure of 32 degrees and angle K has a measure of 43 degrees. In triangle R Q P, angle R has a measure of 105 degrees.

A. 43°
B. 32°
C. 105°
D. 37.5°

Answer 1

Since triangle MLK is congruent to triangle RQP, this means that angle L is congruent to angle P and angle K is congruent to angle Q. Therefore, angle P must also have a measure of 32 degrees.

So the answer is B. 32°.