Question

i need help please and thank you

Answer 1

Answer:

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

Step-by-step 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