Question

3. Mrs. Baumgartner draws a pair of supplementary angles and tells the class that

the angle measures are (4x +30)' and (2x + 6).
a. Write an equation to determine the value of x. Solve for x. SHOW ALL WORK

Answer 1

X=24

Explanation:

Supplementary angles = 180°

4x+30+2x+6=180

Combine like terms> 4x+2x=6x

Add: 30+6=36

6x+36=180.

Subtract 36 on both sides. > 36-36=0. 180-36=144.

Drop what you have left> 6x 144

Divide by 6. > 6/6= 1. 144/6=24.

X=24

Answer 2

Equation: 4x + 30 + 2x + 6 = 180

Answer: x = 24

Explanation:

The sum of the measures of supplementary angles is 180 deg.

Equation:

4x + 30 + 2x + 6 = 180

Solution:

4x + 30 + 2x + 6 = 180

Add like terms on the left side.

6x + 36 = 180

Subtract 36 from both sides.

6x = 144

x = 24