Question

Find value of x supplementary pair

Answer 1

x=70

Explanation:

Because the pair is a supplement, it should add up to 180°, so that means that (2x+6)+34=180

Answer 2

`x=70`°

Explanation:

Supplementary angles are a pair of angles that form a linear pair, or a straight angle/line, and their measure sum to
`180`°. We are given a pair of supplementary angles with measures of
`(2x+6)`° and
`34`°. Therefore, all we have to do to find the value of
`x` is set the sum of the given angles' measures to
`180`°. In an equation, that would be:

`2x+6+34=180`

Solving for
`x`, we get:

`2x+6+34=180`

`2x+40=180` (Simplify LHS by combining like terms)

`2x+40-40=180-40` (Subtract
`40` from both sides of the equation to isolate
`x`)

`2x=140` (Simplify)

`(2x)/(2) =(140)/(2)` (Divide both sides of the equation by
`2` to get rid of
`x`'s coefficient)

`x=70`° (Simplify)

Hope this helps!