Question

Find the value of x.

Answer 1

`12x + 19 + 22x - 9 = 180`

`34x + 10 = 180`

`34x = 170`

`x = 5`

Answer 2

x = 5

Explanation:

The angles shown on the image are supplementary angles because they make a straight line.

The sum of supplementary angles would be equal to 180 so we can write the following equation to find the value of x:

12x + 19 + 22x - 9 = 180

• Add like terms.

34x + 10 = 180

• Subtract 10 from both sides.

34x = 170

• Divide both sides by 34.

x = 5