Question

Find the measure of the marked angles.

The larger angle measures ____.

Answer 1

7

Explanation:

The sum of the two angles should be 180. So we have:
`14x+6+10x+6=180`

Combine like terms.

`24x+12=180`

Solve for x.

`24x=168\\x=7`

Replace x with 7.

The measure of larger angle:
`14(7)+6=104`

The measure of smaller angle:
`10(7)+6=76`

As you can see, the two angles add up to 180, so we can confirm that our answer is correct.