anniechavarria
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URGENT WILL GET BRAINLIEST!!!!
Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measure.

m∠1=(50x)∘, m∠8=150°

URGENT WILL GET BRAINLIEST Identify the theorem or postulate that is related to the measures of the angles in the pair and find the unknown angle measure m150x class=

Respuesta :

akposevictor

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°