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Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.

Two parallel lines are cut by a transversal as shown below Solve for b Then explain your reasoning class=

Respuesta :

laratunca2004

Answer:

b=14

Step-by-step explanation:

the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.

5b=b+56

4b=56

b=14

lhmarianateixeira

In this exercise we want to calculate the value of b knowing that these are parallel lines, like this:

[tex]b=14[/tex]

What is a parallel line?

They are two distinct lines that have the same angular coefficient, they never intersect and there is no point in common between them.

With this information we can solve this exercise as:

[tex]5b=b+56\\4b=56\\b=14[/tex]

See more about parallel lines at brainly.com/question/16701300

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