Question

Solve for x
And show work

Answer 1

x = - 8

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

Answer 2

x = -8

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.

• 
  `(2x)/(2) = (-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.