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

Answer 1

Since ∠M≅∠L and ∠L=36°, then ∠M=36°.

Since ∆LMN is isosceles, ∠L≅∠N.

Therefore, ∠N=36°.

Answer 2

your missing m∠M

Answer 3

Apologies for the oversight.

Since ∆LMN is isosceles, ∠L≅∠N. Let's denote m∠N as x.

Therefore, ∠L=36° and ∠N=x.

Since the sum of the internal angles in a triangle is 180°, we can write the equation:

∠M + ∠L + ∠N = 180°

Substituting the given values, we have:

36° + 36° + x = 180°

Simplifying the equation, we find:

2(36°) + x = 180°

72° + x = 180°

Subtracting 72° from both sides:

x = 108°

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

Answer 4

and m∠N

Answer 5

Apologies for the confusion.

Given that ∆LMN is isosceles and ∠L=36°, we know that ∠M=36° as well.

Since the sum of the internal angles in a triangle is 180°, we have:

∠L + ∠M + ∠N = 180°

Substituting the known values, we get:

36° + 36° + ∠N = 180°

Simplifying the equation, we find:

72° + ∠N = 180°

Subtracting 72° from both sides:

∠N = 180° - 72°

∠N = 108°

Hence, the measures of angles M and N are both 36°, and the measure of angle N is 108°.