Answer:
m∠K = 36°
m∠L = 54°
m∠M = 90°
Step-by-step 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°
4w+5+33=90
4w=90-5-33
4w=52
w=13
Two lines and a point are guaranteed to be coplanar if the two lines share only a single point.
Hope this helped :)
Answer:
∠N = 31
Step-by-step explanation:
MN = MP
∠N = ∠P = x+3
∠M + ∠N + ∠P = 180
4x+6 + x+3 + x+3 = 6x + 12 = 180
x = 28
∠N = 28 + 3 = 31
There are also 6 possibilities because the die has six sides with 1 different number on each.
