Question

city engineering seventh avenue runs perpendicular to 1st and 2nd streets, which are parallel. however, maple avenue makes a 115° angle with 2nd street. what is the measure of angle 1? 1st st. 2nd st. 7th ave. maple ave. 115° 1

Explanation:

Step1: Identify Parallel Lines and Transversal

1st St and 2nd St are parallel, Maple Ave is a transversal.

Step2: Find Supplementary Angle

The $115^\circ$ angle and its adjacent angle (on 2nd St) are supplementary? No, wait, since 1st and 2nd are parallel, angle 1 and the angle supplementary to $115^\circ$ are equal (alternate interior angles). The supplementary angle to $115^\circ$ is $180 - 115 = 65^\circ$. So angle 1 is $65^\circ$ (alternate interior angles theorem, as lines are parallel and transversal cuts them).

Answer:

$65^\circ$