Respuesta :

m < 5 = 55.1°

Due to the fact that <4 and <5 are vertical angles, their measurements are the same.


m < 7 = 124.9°

Due to the fact that <3 and <7 are corresponding angles, you can conclude that <4 and <7 are supplementary (their angles together have a sum of 180°) angles.

180° - 55.1° = 124.9°

The values of m∠5 and m∠7 when the Transversal EF cuts parallel lines AB and CD are 55.1° and 124.9° respectively.

Since the transversal line EF cut parallel lines AB and CD, corresponding angles, alternate angles etc are formed.

Therefore, the m∠5 and m∠7 can be found as follows:

Firstly, ∠5 and ∠7 are supplementary angles. This means they sum up to 180 degrees.

∠5 is an alternate angle to ∠4 and alternate angles are equal. Therefore,

m∠5≅m∠4

m∠5 = 55.1°

Therefore,

m∠5 + m∠7  = 180°

55.1 + ∠7 = 180

∠7 = 180 - 55.1

m∠7 = 124.9°

learn more about parallel lines: https://brainly.com/question/1449683?referrer=searchResults

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