Question

find value of x supplementary pair

Answer 1

Answer:

x=70

Step-by-step explanation:

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

Answer 2

Answer:

$x=70$°

Step-by-step 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)

$\frac{2x}{2} =\frac{140}{2}$ (Divide both sides of the equation by $2$ to get rid of $x$'s coefficient)

$x=70$° (Simplify)

Hope this helps!