Question

Find the measure of stv in the figure

Answer 1

STV = 153 degrees

Explanation:

180 - 18 = 162 (angles on a straight line equal 180 degrees)

3q + 15q = 162

18q = 162

q = 162 / 18

q = 9

STV = 15q + 18

= 135 + 18

= 153

Hope this helps!

Answer 2

UTV is a straight line, which equals 180 degrees.

This means both angles UTS and STV when added together must equal 180.

3q + 15q +18 = 180

Simplify:

18q +18 = 180

Subtract 18 from both sides:

18q = 162

Divide both sides by 18:

q = 162 / 18

q = 9

Now you have a value for q to solve the angle.

STV = 15q +18

Replace q with 9:

STV = 15(9) +18

Simplify:

STV = 135 + 18 = 153 degrees.