Respuesta :

Answer:

x = 31 degrees

Step-by-step explanation:

Transversals! You are given that line m is parallel to line n. Therefore, the angle above 84 degrees is equal to 96 degrees.

Opposite angles are congruent, so you set 3x+3=96

Solve for x.

Another way to think of this is that a straight angle is 180 degrees. That means both angles added together must equal to 180 degrees. 3x+3+84=180

Solve for x

[tex]\\ \rm\Rrightarrow 3x+3+84=180[/tex]

[tex]\\ \rm\Rrightarrow 3x+87=180[/tex]

[tex]\\ \rm\Rrightarrow 3x=93[/tex]

[tex]\\ \rm\Rrightarrow x=31[/tex]

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