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

Answer:

$x=10$

Step-by-step 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 $16$:

$x=10$

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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!