Question

I need help with this equation, I seem to be over thinking it too much

Answer 1

Answer: X=15; 160°

Step-by-step explanation: Since these are opposite angles (or vertical angles), that means that both angles have the same measure. To find out what the angle measures are, set the two equations equal to each other.

Step 1: Set the equations equal to each other

`10x + 10 = 8x + 40`

Step 2: Subtract 10 from both sides

`10x = 8x + 30`

Step 3: Subtract 8x from both sides

`2x = 30`

Step 4: Divide both sides by 2

`x = 15`

Step 5: Plug in the value of X to get the angle measures

`10(15) +10 = 8(15) +40`

`150 +10 = 120 +40`

`160 = 160`

Since
`160 = 160`, we know that we solved the problem correctly, and the angle measure is 160°

Answer 2

• Answer:

x = 15

• Explanation:

Vertically Opposite Angles =>

10x + 10 = 8x + 40

10x - 8x = 40 - 10

2x = 30

x = 30 : 2

x = 15