Question

An angle measures 12 degrees less than three times its supplement. Find the measure of the angle.

Answer 1

Ok, so you knnow that for angles to be supplement, they need to equal 180 degrees. So you can create an equation as follows:

(3 times X minus 12) degrees plus (x)degrees equals 180 degrees

(3x-12) + (x)=180

4x-12=180

4x=192

x=48

So now you plug in "x=48" into this equation (3x-12) to find the measure of the angle.

And if I did the math correctly, the answer should be "132" degrees.

Answer 2

A supplement to an angle means that it is 180 - the angle, or what makes it a straight line. Ex. the supplement to 89 degrees is 91; 89 + 91 = 180

Now that we know that, we can solve for the angle

Let x = the angle wanted

x = 3(180 - x) -12

x = 540 - 3x - 12

4x = 540 - 12

4x = 528

x = 132

now if we want to test it,

132 = 3(180 - 132) -12

132 = 3(48) - 12

132 = 144 - 12

132 = 132