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.

`(8)/(8)x = (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.