Question

LMN≅PQR

Answer 1

X = 56°.

Based on the congruence statement, m∠L = m∠P; m∠M = m∠Q; and m∠N = m∠R.

Since m∠L = 72°, m∠P = 72°.
Since m∠N = x°, m∠R = x°.
We are given that m∠Q = 52°.

We can find the value of x by subtracting the given angles from 180:
180-(72+52) = 180-124 = 56°