Question

Is a pair of supplementary angles have degree measures in the ratio of 1:2, what's x

Answer 1

By definition, supplementary angles add up to 180°. Graphically,

`a+b=180\text{\degree}`

In this case, you have

`x+2x=180\text{\degree}`

Solving for x

`\begin{gathered} x+2x=180\text{\degree} \\ 3x=180\text{\degree} \\ \text{ Divide both sides of the equation by 3} \\ (3x)/(3)=\frac{180\text{\degree}}{3} \\ x=60\text{\degree} \end{gathered}`

Now the supplementary angle measure is

`2x=2\cdot60\text{\degree }=120\text{\degree}`

Therefore, supplementary angles whose measures of degrees in the ratio of 1: 2 are 60° and 120°.