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 below. if m∠2 = 115°, what is m∠1?

Explanation:

Step1: Identify angle - relationship

$\angle1$ and $\angle2$ are supplementary angles (linear - pair).

Step2: Use supplementary - angle formula

The sum of supplementary angles is $180^{\circ}$. So $m\angle1 + m\angle2=180^{\circ}$.

Step3: Solve for $m\angle1$

$m\angle1=180^{\circ}-m\angle2$. Substitute $m\angle2 = 115^{\circ}$ into the equation. Then $m\angle1=180 - 115=65^{\circ}$.

Answer:

$65$