Answer:
m∠K = 36°
m∠L = 54°
m∠M = 90°
Explanation:
A triangle's angles add up to 180 degrees. We will add together all the angles and set them equal to 180. Then, we will solve for x. Lastly, we will solve for the angle measurements.
-> The little "box" in angle M means that it is equal to 90°
90° + (2x + 42)° + (4x + 12)° = 180°
90° + 42° + 12° + 2x° + 4x°= 180°
144° + 6x°= 180°
6x° = 36°
x = 6°
[m∠K]
4x + 12
4(6) + 12
36°
[m∠L]
2x + 42
2(6) + 42
54°