Question

First solve for x, then use it to find all of the missing angle measurements

Answer 1

The sum of interior angles of a triangle is 180 degrees

Here the interior angles are:

`(4x\text{ - 22) + (10x - 4) + (x + 11) = 180}`

To find x, first open the parenthesis:

`4x\text{ - 22 + 10x - 4 + x + 11 = 180}`

Collect like terms:

`4x\text{ + 10x + x -22 - 4 + 11 = 180}`
`15x\text{ - 15 = 180}`

Now add 15 to both sides:

`15x\text{ - 15 + 15 = 180 + 15}`
`15x\text{ = 195}`

divide both sides by 15:

`(15x)/(15)\text{ = }(195)/(15)`
`\text{ x = 13}`