△LMN is isosceles, with ∠M≅∠L and m∠L=36°. What are the measures of angles M and N?(1 point
Since ∠M ≅ ∠L, we know that m∠M = m∠L = 36°.
Also, we know that ∠M + ∠N + ∠L = 180° (sum of angles in a triangle).
Substituting the known values, we have:
36° + ∠N + 36° = 180°
Simplifying the equation, we have:
∠N + 72° = 180°
Subtracting 72° from both sides, we have:
∠N = 108°
Therefore, the measures of angles M and N are:
m∠M = 36°
m∠N = 108°