Respuesta :

Given that x° and 2x° are same-side interior angles, the value of x is: 60.

Recall:

  • The consecutive interior angles or same-side interior angle formed when a transversal intercepts two parallel lines are supplementary. They add up to 180°.

x° and 2x° are same-side interior angles.

Therefore:

x° + 2x° = 180°

  • Add like terms together

3x° = 180°

  • Divide both sides by 3

x = 180/3

x = 60

In summary, given that x° and 2x° are same-side interior angles, the value of x is: 60.

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