An angle measures 15 degrees more than its complement. Find the measures of the two angles

x = one angle

y = other angle

y = 15+x

complements add to 90 degrees

x+y = 90

substitute for y (15+x)

x + 15+x = 90

combine like terms

2x + 15 = 90

subtract 15 from each side

2x = 75

divide each side by 2

x = 75/2

x = 37.5

y = x+15

y = 37.5 + 15

y = 52.5

The two angles are 37.5 and 52.5