Question

Solve for x And show work

Answer 1

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.

• $(x+x) + (96+100)=180$
• $2x + 196 = 180$

Step 2: Subtract 196 from both sides.

• $2x + 196 - 196 = 180 - 196$
• $2x = -16$

Step 3: Divide both sides by 2.

• $\frac{2x}{2} = \frac{-16}{2}$
• $x = -8$

Step 4: Check if solution is correct.

• $-8 + 96 + 100 - 8 = 180$
• $88 + 100 - 8 = 180$
• $188-8=180$
• $180=180$

Therefore, x = -8.

Answer 2

Answer:

x = - 8

Step-by-step explanation:

x + 96 and 100 + x are adjacent angles on a straight line and sum to 180°, so

x + 96 + 100 + x = 180 , that is

2x + 196 = 180 ( subtract 196 from both sides )

2x = - 16 ( divide both sides by 2 )

x = - 8