Question

In the figure below, lines m and n are parallel:



In the diagram shown, ∠2 measures 77 degrees. What is the measure of ∠4?
5 degrees
77 degrees
103 degrees
180 degrees

Answer 1

Well, angle 2 and 4 have to equal 180 degrees. And you know that angle 2 is equal to 77 degrees. So that would be 180=77+x where x stands for the measure of angle 4. So the equation you want to work with is: \[180=77+x\] Then you need to solve for x.