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2 votes
Solve for x
And show work

Solve for x And show work-example-1
User Tauli
by
8.0k points

2 Answers

2 votes

Answer:

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

User Gnarlywhale
by
8.1k points
4 votes

Answer:

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.

User Maxime Capelle
by
8.0k points

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