Question

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

A 43

B 32

C 105

D 37.5

Answer 1

P is 43 degrees. Side XM is congruent to side PR so we know angle M and R are congruent and P and X are congruent. X = 43 = P

Answer 2

Answer: B-32

Explanation:

Hello! All angles of a triangle add up to 180 degrees. Since triangles add up to 180 degrees, you know that the measure of angle m in the first triangle is 105 degrees. Because all sides in congruent triangles and all angles in congruent triangles are also congruent, you know that the second triangle has to have the same angle measurements as the first. P or Q could have the angle measurements of 32 degrees or 43 degrees. Q is the angle with 43 degrees because it is clearly the longer side and looks like the first triangle's side with 43 degrees. P is the angle with 32 degrees because it is the shorter side.