Question

Help me please!!!

The following diagram shows where a road intersects two parallel streets. At
one intersection, ∠2 measures 120°. What are the measures of ∠7 and ∠8 at the
other intersection? How do you know?

Answer 1

∠7=120 degrees, ∠8=60 degrees.

Explanation:

Since the roads are parallel lines, we can say that angle 4 is equal to 60 degrees, since a line is 180 degrees and 180-120=60.

We can then say that with the corresponding angles theorem, angle 4 is equal to angle 8. Since angle 7 is on the same line, and lines are 180 degrees, we can say that angle 7 is 180-60, or 120 degrees.