△LMN is isosceles, with ∠M≅∠L and m∠L=36° . What are the measures of angles M and N ?(1 point) m∠M = ° and m∠N = °
Since ∠L and ∠M are congruent in an isosceles triangle, we know that m∠M = m∠L = 36°.
Since the sum of angles in a triangle is always 180°, we can find m∠N by subtracting the sum of the other two angles from 180°:
m∠N = 180° - m∠L - m∠M
m∠N = 180° - 36° - 36°
m∠N = 108°
Therefore, the measures of angles M and N are:
m∠M = 36°
m∠N = 108°