The measure of an angle is seventy-one times the measure of a supplementary angle. What is the measure of each angle?

Let the smallest angle = x

Then the larger one = 71x

Supplementary angles are always equal to 180o

x + 71x = 180o Add the left side

72x = 180 Divide by 72

x = 180/72

x = 2.5

The smallest angle = 2.5 degrees

The largest angle = 2.5 * 71

The largest angle = 177.5 degrees.