Question

Someone help write and sove an equation to find the missing angle measures? thank you

Answer 1

The two measures form a sum of 180°, which means that they are supplementary angles. To find the measures, set up the equation below:

1.) Solve for x

$5x + (3x + 12) = 180$

Then use the $PEMDAS$ method for order of operations.

Since $(3x + 12)$ is already in simplest form, we can take away the parenthesis.

Then we will have:

$5x + 3x + 12 = 180$

Notice how the coefficients 5x and 3x both have the same variable. This means that we can add them up.

$8x + 12 = 180$

If 12 more than 8x is 180, then this means twelve less than 180 is equal to 8x. Subtract 12 fro both sides:

$8x + 12 - 12 = 180 - 12$

$8x = 168$

168 is the product of 8 and x, so divide both sides by 8.

$\frac{8}{8}x = \frac{168}{8}$

x = 21 degrees

2.) Plug in the value of x.

5(21) + (3(21) + 12)

First do the operations inside the parenthesis:

$5(21) + (63 + 12)$

= $5(21) + 75$

= $105 + 75$ = 180

The two angle measures are $105$° and $75$°. Hope this helped.