Answer:
m∠8 = 124°
Step-by-step explanation:
1. Find m∠1
m∠1 and m∠2 are supplementary, since they are on the same line.
That means m∠1 + m∠2 = 180.
Plug in: 4x + 2x - 6 = 180
Simplify + subtract: 6x = 186
Divide: x = 31
Plug in: m∠1 = 4(31) --> m∠1 = 124°
2. Since ∠1 and ∠4 are vertical, they are congruent. Since ∠4 and ∠8 are corresponding on parallel lines, they are also congruent. Therefore, ∠1 and ∠8 are congruent, which means m∠1 = m∠8
Plug in: m∠8 = 124°
