Answer:
Alt. Ext. Angles Theorem.
m∠1 = 150
Step-by-step explanation:
∠1 and ∠8 are alternate exterior angles formed when the transversal line cuts across the 2 parallel lines. According to the alternate exterior angles theorem, both are congruent. Therefore,
m∠1 = m∠8
m∠1 = (50x)°
m∠8 = 150
Set both equal and solve for x
50x = 150
Divide both sides by 50
50x/50 = 150/50
x = 3
Unknown angle:
m∠1 = (50x) = 50*3 = 150°
