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
Then use the method for order of operations.
Since is already in simplest form, we can take away the parenthesis.
Then we will have:
Notice how the coefficients 5x and 3x both have the same variable. This means that we can add them up.
If 12 more than 8x is 180, then this means twelve less than 180 is equal to 8x. Subtract 12 fro both sides:
168 is the product of 8 and x, so divide both sides by 8.
x = 21 degrees
2.) Plug in the value of x.
5(21) + (3(21) + 12)
First do the operations inside the parenthesis:
=
= = 180
The two angle measures are ° and °. Hope this helped.