find the measure of the complementary angles that satisfy each case. the measure of the first angle is 30 greater than the measure of the second angle

Step-by-step explanation:

Let the first angle = x

Let the second angle = y

They are complementary so

x + y = 90

x = y + 30

Substitute for x

y + 30 + y = 90

2y + 30 = 90             Subtract 30 from each side

2y = 90 - 30

2y = 60                     Divide by 2

2y/2 = 60/2          

y = 30

x = y + 30

x = 30 + 30

x = 60

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