Question

The measure of an angle's supplement is 24 less than twice the measure of the angle. Find the measure of the angle and its supplement.
a. 38, 52
b. 52, 38
c. 68, 112
d. 112, 68

Answer 1

Answer:

c. 68, 112

Step-by-step explanation:

The angle is our unknown, so we will call it x.  If the angle is x, then its supplement is 180 - x (supplementary angles add up to equal 180).  The word "is" means "equals", so putting the equation together looks like this:

180 - x = 2x - 24.  Add x to both sides and at the same time add 24 to both sides (combining like terms, in other words):

204 = 3x so

x = 68

x is the angle measure, so the angle is 68 and its supplement is 180 - 68 = 112