Question

Find the measure of angles 1 and 2.

Explain your reasoning as to how you determined the measurements of angles 1 and 2.

Answer 1

135 degrees

Explanation:

You use Alternate interior angles to get angle 2, then vertical angles to find angle 1

Red is alternate interior angles

Yellow is vertical angles

Answer 2

Explanation:

when a line intersects 2 or more parallel lines, it must have the same intersection angles with each of the parallel lines. otherwise the lines are not parallel after all, because parallel lines imitate each other's properties and behaviors exactly except for the actual location.

so,

angle 1 = 135°

the intersection angles between 2 lines must be the same in each side of each line, they are just left-right mirrored.

so,

angle 2 = angle 1 = 135°