△LMN is isosceles, with <M ~= <L and m<L = 36° . what are the measures of angles M and N?
Since ∆LMN is isosceles, we know that ∠M = ∠L. Therefore, ∠M = 36°.
Since the sum of the angles in a triangle is always 180°, we can find the measure of angle N as follows:
m∠L + m∠M + m∠N = 180°
36° + 36° + m∠N = 180°
72° + m∠N = 180°
m∠N = 108°
Therefore, the measures of angles M and N are 36° and 108°, respectively.