🔺️LMN is isosceles, with ∠M = ∠L and m∠L = 36°. What are the measures of angles M and N?

Answer 1

Since LMN is an isosceles triangle, we know that angles L and M are congruent. Given that m∠L = 36°, we can conclude that m∠M = 36° as well.

Since the sum of the angles in a triangle is always 180°, we can find the measure of angle N:

m∠L + m∠M + m∠N = 180°
36° + 36° + m∠N = 180°

Substituting the given values and solving for m∠N:

72° + m∠N = 180°
m∠N = 108°

Therefore, the measures of angles M and N are 36° and 108°, respectively.