Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

below are two parallel lines with a third line intersecting them, x = \…

Question

below are two parallel lines with a third line intersecting them,
x = \square ^\circ

Explanation:

Step1: Identify angle relationship

The two lines are parallel, and the transversal creates same - side interior angles. Same - side interior angles are supplementary, meaning their sum is \(180^{\circ}\). So we have the equation \(108 + x=180\).

Step2: Solve for x

Subtract 108 from both sides of the equation: \(x = 180 - 108\).
\(x=72\)

Answer:

\(72\)