Question

Need help ASAP! What Is the measure of an angle If It Is 240 less then 6 times It’s own supplement?

Answer 1

120°

Explanation:

Given that an angle = 240 less than 6 × its own supplement,

Let x = be the angle

Its supplement = (180 - x)

If the angle (x) is 240 less than 6 times its own supplement, (180 - x), we will have the following expression:

`x = 6*(180 - x) - 240`

Simplify the expression to solve for x

`x = 1080 - 6x - 240`

`x = 1080 - 240 - 6x`

`x = 840 - 6x`

Add 6x to both sides

`x + 6x = 840 - 6x + 6x`

`7x = 840`

Divide both sides by 7 to solve for x

`(7x)/(7) = (840)/(7)`

`x = 120`