Answer:
(D is your answer)
Step-by-step explanation:
<u>Skills needed: Solving One-Variable Equations, Supplementary Angles</u>
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 and make up supplementary angles, meaning they add up to equal 180.
2) Based on this, we can create the equation:
3) Combine the like terms
x and x can be combined -->
116 and 80 can be combined -->
4) So based on Step 3, we get:
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:
On the left side: 196 and -196 cancel to equal 0, so it would just be
On the right side: , so is on the right side
6) Based on step 5, we get:
7) Divide by 2, on both sides, and you will get:
Therefore, D is your answer
<em>Hope this helps and have a nice day!!! :] :) :D</em>