Find the angle measures

Question

In the figure below, M<1=(x-15) and M<2=4x .

Find the angle measures.

Answer 1

The angles are co-linear, on the same line. So they must total 180 degrees. Set up the equation

x-15+4x=180 Combine like terms

5x-15=180 Add 15 to both sides of the equation

5x=195 Divide both sides by 15

x=39

Now that we have x, we can find both angles

M<1 = x-15 = 39-15

M<1 = 24

M<2 = 4x = 4(39)

M<2 = 156