One of a pair of complementary angles is half the other. find the measure of each angle.

large angle = 60

small angle = 30

Step-by-step explanation:

x + y = 90                                            Definition of complementary

y = 1/2 x                                               Definition smaller angle

x + 1/2 x = 90                                       Substitute for y

3/2 x = 90                                            Combine terms on the left

3/2 x * 2/3 = 90* 2/3                           Multiply both sides by 2/3

x = 60                                                   Find y    

y + x = 90

y + 60 = 90

y = 90 - 60

y = 30