Question

△LMN is isosceles, with ∠M≅∠L and m∠L=36° . What are the measures of angles M and N ?(1 point)
m∠M = 36
° and m∠N =
°

Answer 1

Since △LMN is isosceles, ∠M ≅ ∠L. Therefore, m∠M = m∠L = 36°.

Since the sum of the angles in a triangle is 180°, we can find the measure of ∠N.

m∠N = 180° - m∠M - m∠L
= 180° - 36° - 36°
= 108°

Thus, m∠N = 108°.