∠1 is a supplement of ∠2 , ∠1 is a complement of ∠3, and m∠1=68∘. Find m∠2−m∠3.

Question

I'm completely lost. I do not know how to apply the two different angles

Answer 1

The information provided says that angle 1 is supplemental to angle 2 which means that both angles added together equal 180 degrees. Since angle 1 equals 68 degrees it means that 180 degrees minus 68 degrees of angle one gives us the answer of angle 2 equals 112 degrees. Angle 1 is complimentary with angle 3 which means they equal 90 degrees together and with angle 1 being equal to 68 degrees then angle 3 equals 22 degrees. Lastly angle 2 minus angle 3 = 112 - 22 = 90 degrees.

Answer 2

So supplement or supplementary angles are when two angles sum up to a total of 180 degrees, while complement or complementary angles sum up to a total of 90 degrees.

Therefore, angle 1 and angle 2 make 180 degrees together, while angle 1 and angle 3 make 90 degrees together.

Since angle 1 is 68 degrees that would mean angle 2 is 112 degrees and angle 3 is 22 degrees.