Question

the parking spaces in a city lot were created by painting rows of parallel line segments, then painting a line that cuts through each of the parallel segments. a sketch of two parking spaces is shown. if ( mangle2 = 115^{circ} ), what is ( mangle1 )?

Explanation:

Step1: Use the property of supplementary angles

Angles on a straight line are supplementary. That is, \(m\angle1 + m\angle2=180^{\circ}\)

Step2: Solve for \(m\angle1\)

Given \(m\angle2 = 115^{\circ}\), substitute into the equation: \(m\angle1=180^{\circ}-m\angle2\)
\(m\angle1 = 180^{\circ}- 115^{\circ}\)
\(m\angle1=65^{\circ}\)

Answer:

\(65^{\circ}\)