High School

This figure represents line segments painted on a parking lot to create parking spaces. Which equation can

be used to show that these line segments are parallel?

A. 118 -w = x

B. 118 - x = w

C. x + 118 = 180

D. W + 118 = 180

This figure represents line segments painted on a parking lot to create parking spaces Which equation can be used to show that these line segments

Answer :

D. w + 118 = 180. An equation that can be used to show that these line segments are parallel is w + 118 = 180.

The consecutive interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the interior angles that are formed are congruent and each pair of the consecutive interior angles is supplementary.

By applying the consecutive interior angles theorem, we have the following supplementary angles:

m∠w + 118° = 180°

m∠w = 180° - 118°

m∠w = 62°

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