Answer:
65 degrees
Step-by-step explanation:
To find the measure of angle 1, we need to understand a few things about angles and parallel lines.
- Since Seventh Avenue runs perpendicular to 1st and 2nd Streets (which are parallel), we know that the angles between Seventh Avenue and both 1st Street and 2nd Street are 90 degrees.
- Maple Avenue makes a 115-degree angle with 2nd Street. Based on the diagram, this 115-degree angle is the exterior angle to the angle marked 1.
Now, let's use the fact that the sum of angles in a straight line is 180 degrees. Since angle 1 and the 115-degree angle are supplementary (they add up to form a straight line), we can calculate the measure of angle 1 as follows:
180 degrees (straight line) - 115 degrees (Maple Ave angle) = 65 degrees
Therefore, angle 1 measures 65 degrees.
Hope this helps!
