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

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.

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

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step-by-step explanation:

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