Question

Find the value of x AND find the measure of each angle. (Make use of supplementary angles!)

Answer 1

The angles shown are supplementary, it means when we add them together, they add up to 180°:

`(5x + 3) + (x - 3) = 180`
Add like terms:

`6x = 180`
Divide both sides by 6 in order to isolate x:

`x = 30`
The exterior angle is:

`x - 3 = 30 - 3 = 27`
The interior angle is:

`5x + 3 = 5 * 30 + 3 = 150 + 3 = 153`
or
`180 - 27 = 153`