Respuesta :

cromulent

[tex]180^{\circ} = (2x + 45)^{\circ} + x^{\circ}\\180^{\circ} = 2x^{\circ} + 45^{\circ} + x^{\circ}\\180^{\circ} - 45^{\circ} = 2x^{\circ} + x^{\circ}\\135^{\circ} = 3x^{\circ}\\x^{\circ} = 45^{\circ}[/tex]

Answer:

x = 45

Step-by-step explanation:

The angle measurement of the line is 180 degrees because it is a straight line. Therefore, the shown two angle measurements must add up to 180 as well. So:

(2x+45) + x = 180

Combine like terms to simplify

3x + 45 = 180

-45           -45

Subtract 45 on both sides to isolate the variable

3x = 135

Divide 3 on both sides to isolate the variable as well

x = 45

*Hope this helped! : )*

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