Question

Find x, if ∠1 and ∠2 are a linear pair. m∠1 = 20+5x and m∠2 =x+10

Answer 1

`\boxed { x = -(5)/(2)}`

Explanation:

To determine the value of
`x`, write expression by using the following measurement from both
`\angle 1` and
`\angle 2` and solve:

`\angle 1 = 20 + 5x`

`\angle 2 = x + 10`

`20 + 5x = x + 10`

Solve for
`x`:

`20 + 5x = x + 10`

`20 + 5x - x = x - x + 10`

`20 + 4x = 10`

`20 - 20 + 4x = 10 - 20`

`4x = -10`

`(4x)/(4) = (-10)/(4)`

`\boxed { x = -(5)/(2)}`

So, the value of
`x` is
`-(5)/(2)`.