Question

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

Answer 1

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