Answer:
m∠M = 54°
m∠N = 72°
m∠L = 54°
Step-by-step explanation:
In the figure attached,
ΔLMN is an isosceles triangle having sides MN ≅ NL
Therefore, angles opposite to these sides will be equal in measure.
m∠M ≅ m∠L ≅ (2x + 36)°
Since, m∠M + m∠N + m∠L = 180°
(2x + 36)° + (5x + 27)° + (2x + 36)° = 180°
9x + 99 = 180
9x = 180 - 99
x =
x = 9
Therefore, m∠L = m∠M = (2x + 36)° = (2×9) + 36
= 54°
And m∠N = (5x + 27) = (5×9) + 27
= 72°