△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 = °
I thought it was 72, but I was wrong. Can someone explain how to do this?
Such a trivial question for the bot to get wrong
clearly m∠L and m∠M are the equal angles, as given
and since we are told m∠L = 36°
then m∠M = 36°
leaving m∠N = 108°
Certainly! To find the measures of angles M and N in an isosceles triangle, we first need to determine the value of angle L.
Given that angle L measures 36°, we know that angles M and N are congruent to angle L. Since angles M and L are congruent, their measures must be equal. Therefore, m∠M = 36°.
To find the measure of angle N, we need to consider the fact that the sum of the angles in a triangle is always 180°.
Since angle L measures 36° and angles M and N are congruent, their combined measure is 36° + 36° = 72°.
To find angle N, subtract the sum of angles L and M from 180°: 180° - (36° + 36°) = 180° - 72° = 108°.
Therefore, m∠N = 108°.
In summary, the measures of angles M and N are m∠M = 36° and m∠N = 108°.
M=37, N=108
for any connexus users