Question

I need help please and thank you

Answer 1

`x=-8` (D is your answer)

Explanation:

Skills needed: Solving One-Variable Equations, Supplementary Angles

1) First, you need to understand supplementary angles. Supplementary angles are angles that create a straight angle. A straight angle is just a straight line. A straight angle measures 180 degrees.

• Supplementary angles add up to 180 degrees.

• So, the two values
  `x+116` and
  `x+80` make up supplementary angles, meaning they add up to equal 180.

2) Based on this, we can create the equation:

`x+116+x+80=180`

3) Combine the like terms

x and x can be combined -->
`x+x=2x`

116 and 80 can be combined -->
`116+80=196`

4) So based on Step 3, we get:

`2x+196=180`

5) Now, we can isolate the variable. This means we want to leave the term with x on one side, and all other terms on the other side. The way we can do this is by subtracting 196 from both sides. Here is what you would do:

`2x+196-196=180-196`

On the left side: 196 and -196 cancel to equal 0, so it would just be
`2x`

On the right side:
`180-196 = -16`, so
`-16` is on the right side

6) Based on step 5, we get:

`2x=-16`

7) Divide by 2, on both sides, and you will get:

`x=-8`

Therefore, D is your answer

Hope this helps and have a nice day!!! :] :) :D