Answer:
x = -4
y = 14
m< 1 = 66 degrees
m< 2 = 24 degrees
m< 3 = 156 degrees
Explanation:
<1 + <2 = 90 degrees
3y -6x + 5y - 46 = 90 degrees
8y - 6x = 136 degrees
<2 + <3 = 180 degrees
5y - 46 + 12y + 3y = 180 degrees
17y + 3x = 226
A system of equations. Substitution or addition.
(8y -6x = 136) + 2(17y + 3x = 226)
(8y-6x = 136) + 34y + 6x = 452) =
42y = 588
y = 588/42
y = 14
8(14)-6x=136
-6x = 136 - 112
X = - 4
m <1 = 3(14)-6(-4)=66 degrees.
m <2 = 5(14)-46
m <2 = 24 degrees
m <3 = 12(14) + 3(-4)
m <3 = 156 degrees