Question

Find the measures of each angle. Supplementary angles with measures (2x+3) and (3x+2). A. 64 and 116. B. 53 and 127. C. 63 and 117. D. 73 and 107

Answer 1

So since they are supplementary angles, they add up to 180. With this info, we can form the equation
`2x+3+3x+2=180`

First, combine like terms:
`5x+5=180`

Next, subtract 5 on each side:
`5x=175`

Next, divide 5 on both sides, and the answer will be x = 35

Now that we got what x is, we can substitute it into the x of both angles:

`2(35)+3\\ 70+3\\ 73`

`3(35)+2\\ 105+2\\ 107`

In short, the correct option is D. 73 and 107.

Answer 2

Supplementary means adds to 180 degrees as all the choices do.

2x + 3 + 3x + 2 = 180

5x + 5 = 180

5x = 175

x = 175 / 5 = 35

2(35)+3 = 73

3(35)+2=107

Choice D