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BasketballEinstein

Answer:

[tex]\displaystyle Corresponding\:Angles; 40 = x[/tex]

Step-by-step explanation:

Corresponding Angles are congruent, therefore you set both angle measures equal to each other:

[tex]\displaystyle 135° = [3x + 15]° → 120 = 3x; 40 = x[/tex]

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Hey there!

The answer to your question is [tex]x = 40[/tex]

These are two parallel lines cut by a transversal, which means that they are corresponding angles and, therefore, [tex](3x + 15)[/tex] is equal to [tex]135[/tex]°:

[tex]3x + 15 = 135[/tex]    

Subtract [tex]15[/tex] from both sides:

[tex]3x = 120[/tex]

Divide both sides by [tex]3[/tex]:

[tex]x = 40[/tex]

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