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? complete the sentences to describe angle oh1

Explanation:

Step1: Identify supplementary angles

The $115^\circ$ angle and its adjacent angle (on the same line) are supplementary, so the adjacent angle is $180^\circ - 115^\circ = 65^\circ$.

Step2: Use parallel lines and transversal

Since 1st and 2nd Streets are parallel, and Maple Avenue is a transversal, angle 1 and the $65^\circ$ angle (from Step 1) are alternate interior angles. Alternate interior angles are equal, so angle 1 is $65^\circ$.

Answer:

$65^\circ$