triangleLMN is isosceles, with <M = <L = 36 degrees. what are the measures of angles M and N

Answer 1

Since triangle LMN is isosceles, it means that LM = LN. Recall that the sum of the interior angles of a triangle is always 180 degrees.

Let's call the measure of angle N as x degrees. Since angles L and M are both 36 degrees, we can write an equation for the sum of the interior angles of triangle LMN:

36 + 36 + x = 180

Simplifying the equation, we have:

72 + x = 180

Subtracting 72 from both sides, we have:

x = 180 - 72

x = 108

Therefore, the measure of angle M is 36 degrees and the measure of angle N is 108 degrees.