Given m∠1=65°, find the measure of each missing angle. Give your reasoning.

Step-by-step explanation:

See attachment for complete question.

Given

Required

Determine the missing angles

m1 and m2 are supplementary angles.

Meaning that:

Substitute 65 for m1

m1 and m3 are vertically opposites.

m2 and m4 are also vertically opposites.

So:

and

i.e.

When parallel lines are traversed by a line, the corresponding angles are equal.

This means that:

Because they are all corresponding angles.

So: