Question

(NEED DONE QUICK) Two angles are supplementary. One of the angles measures 4(2x+9) and the other angle measures 2(4x-8) what is the value of x?

Answer 1

`x=10`

Explanation:

Supplementary angles are angles equal to 180°.

Therefore:

`4(2x+9)+2(4x-8)=180`

Now that we have our equation, let's distribute the
`4` and the
`2` into the parentheses they are next to:

`8x+36+8x-16=180`

Combine like terms:

`16x+20=180`

Subtract
`20` from both sides of the equation:

`16x=160`

Divide by the coefficient of
`x`, which is
`16`:

`x=10`

~

Check your work by substituting
`10` into one of the equations above:

`8(10)+36+8(10)-16=180`

`80+36+80-16=180`

`180=180`

It's correct!