Question

The measure of an angle is twenty-nine times the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Let's call the measure of the angle x.According to the problem, its supplementary angle measures 180 - x.We are told that x is 29 times the measure of its supplementary angle, so we can set up the equation:x = 29(180 - x)Now we can solve for x:x = 5220 - 29x30x = 5220x = 174So the measure of the angle is 174 degrees, and its supplementary angle measures 6 degrees (180 - 174).