Answer:
x = -8
Step-by-step explanation:
1. Because the line the angles x + 96 and 100 + x are on is straight, it's a straight angle that results in 180°.
2. Given the above information, that means x + 96 + 100 + x = 180.
3. (Solving for equation above)
Step 1: Simplify both sides of the equation.
- [tex](x+x) + (96+100)=180[/tex]
- [tex]2x + 196 = 180[/tex]
Step 2: Subtract 196 from both sides.
- [tex]2x + 196 - 196 = 180 - 196[/tex]
- [tex]2x = -16[/tex]
Step 3: Divide both sides by 2.
- [tex]\frac{2x}{2} = \frac{-16}{2}[/tex]
- [tex]x = -8[/tex]
Step 4: Check if solution is correct.
- [tex]-8 + 96 + 100 - 8 = 180[/tex]
- [tex]88 + 100 - 8 = 180[/tex]
- [tex]188-8=180[/tex]
- [tex]180=180[/tex]
Therefore, x = -8.
