Question

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

Explanation:

Step1: Use the property of adjacent angles

Adjacent angles on a straight line sum to \(180^{\circ}\). So, \(m\angle1 + m\angle2=180^{\circ}\).

Step2: Substitute the value of \(m\angle2\)

Given \(m\angle2 = 115^{\circ}\), then \(m\angle1=180^{\circ}-m\angle2\).

$$m\angle1 = 180^{\circ}- 115^{\circ}$$

$$m\angle1=65^{\circ}$$

Answer:

\(65^{\circ}\)