Question

In the figure below, lines r and s are parallel. What is the measure of angle three? Explain how you know.

Answer 1

Angle 3 = 10x becuase they are vertically opposed angles.

10x = 4x + 42 because they are corresponding angles resulting from a line that crosses paralell lines.

Then. you can solve for x:

10x - 4x = 42
6x = 42
x = 42 / 6
x = 7

Measure of the angle 3 = 10x = 10(7) = 70.

Answer: 70.