Question

Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.

m∠3=(50x−100)∘, m∠5=(25x+25)∘

Answer 1

Using the corresponding angles postulate:

m∠3 = 150°

m∠5 = 150°

What is the Corresponding Angles Postulate?

According to the corresponding angles postulate, corresponding angles, ∠3 and ∠5 are congruent to each other.

Thus, we would have the following equation:

m∠3 = m∠5

Plug in the values

50x - 100 = 25x + 25

50x - 25x = 100 + 25

25x = 125

x = 125/25

x = 5

m∠3 = 50x − 100 = 50(5) − 100 = 150°

m∠5 = 25x + 25 = 25(5) + 25 = 150°

Learn more about the corresponding angles postulate on:

https://brainly.com/question/2938476

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