Respuesta :

Answer:

Step-by-step explanation:

Equation: (3x+7) + (10x+17) = 180

*These are consecutive interior angles and they add to 180 degrees

1.) Add like terms

13x + 24 = 180

2.) Subtract 24 from both sides

13x = 156

3.) Divide each side by 13

x = 12

*Substitute x in both expressions to get angle measures

Value of x: 12

3(12)+7 = 36+7 = 43

10(12)+17 = 120+17 = 137

*Check 43+137 = 180

Angle Measures: 1st angle: 43 degrees

2nd angle = 137 degrees

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