Question

Angle A is 3x° and angle B is 8x°. They are supplementary. What are the measurements of each angle?

Answer 1

`angleA=(540˚)/11,angleB=(1440˚)/11`

Explanation:

Since `angleA` and `angleB` are supplementary, we know that

`mangleA+mangleB=180`

We also know that

`mangleA=3x`
`mangleB=8x`

Thus, we can substitute these values into the original equation.

`3x+8x=180`

Simplify and solve for `x`.

`11x=180`

`x=180/11`

To find the actual degree measures, plug our newfound value of `x` into our `3x` and `8x` expressions.

`mangleA=3x=3(180/11)=(540˚)/11`

`mangleB=8x=8(180/11)=(1440˚)/11`

(These angles are approximately `49.1˚` and `130.9˚`).