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? \boxed{}°

Explanation:

Step1: Identify angle relationship

∠1 and ∠2 are supplementary (form a linear pair), so \( m\angle1 + m\angle2 = 180^\circ \).

Step2: Substitute \( m\angle2 \) value

Given \( m\angle2 = 115^\circ \), substitute into the equation: \( m\angle1 + 115^\circ = 180^\circ \).

Step3: Solve for \( m\angle1 \)

Subtract \( 115^\circ \) from both sides: \( m\angle1 = 180^\circ - 115^\circ = 65^\circ \).

Answer:

\( 65 \)