The measure of an angle is forty-four times the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Let A and B be the two angles

A=44B

A+B=180, supplementary angles add to 180 degrees

substitute first value for A into the 2nd equation

44B+B = 180

45B = 180

B=180/45 = 4 degrees

A=44B=44(4)=176 degrees