the measure of an angle is 12 less than twice the measure of its supplement. what is the measure of the angle?

116°

Step-by-step explanation:

So we don't know what the angle and we will name it angle x . We also know that angle x  is  12 less than the measure of its supplement and we will represent  its supplement by y. Now using the given information we can represent x by the equation x = 2y - 12    

Supplementary angles add up to 180 degrees. So we know that x  and y has to add up to 180  and x is equal to 2y-12  so we can also represent it by the equation   y + (2y -12) = 180  now solve for y to find the supplement.

y + 2y - 12 = 180

3y - 12 = 180  

     +12      +12

3y = 192

y = 64    

So we know the supplement is 64  and the measure of that angle has to be 12  less than two times the supplement.

so x= 2(64) - 12

  x  = 128 - 12

x = 116  

So the measure of that angle is 116 degrees.

Now add it to its supplement to see if it equals 180 degrees.

116 + 64  = 180

 180 = 180  

So it works!

27

step-by-step explanation: