two angles are complimentary. if the measure of one angle is two degrees less than three times the measure of the second, find the measure of each angle

Question

 two angles are complimentary. if the measure of one angle is two degrees less than three times the measure of the second, find the measure of each angle

Answer 1

The measures of complementary angles must add up to 90 degrees. So if we let the measure of one angle be x, then the measure of its complement is 90 - x.

 

Let's say that the measure of the angle measuring (90 - x) is equal to 2 degrees less than 3x the measure of the second. Algebraically, this would be represented as:

 

90 - x = 3x - 2

 

90 = 4x - 2

 

92 = 4x

 

x = 23

 

One angle is 23°, and its complement is 90 - 23 = 67°.