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