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

Answer:

120°

Step-by-step 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

$\frac{7x}{7} = \frac{840}{7}$

$x = 120$