LMN is isosceles with <m =<l and m<l =36 what are the measures of angles m and n
Since LMN is an isosceles triangle, we know that angles M and N are congruent. So, let's call the measure of angle M = angle N = x.
From the given information, we know that angle M < angle L.
Therefore, x < 36.
Since the sum of the interior angles of a triangle is 180 degrees, we can set up the equation:
x + x + 36 = 180
Combining like terms, we get:
2x + 36 = 180
Subtracting 36 from both sides, we get:
2x = 144
Dividing both sides by 2, we get:
x = 72
Therefore, angle M = angle N = x = 72 degrees.