Two angles are complementary. The larger angle is 30 degrees more than 4 times the smaller angle. Find the measure of each angle.

The angles would be 12 degrees and 78 degrees

Step-by-step explanation:

In order to find this we must first note that complementary angles have a sum of 90. Now we can set the smaller angle as x and the larger angle as 4x + 30. Now find the sum and set equal to 90.

x + 4x + 30 = 90

5x + 30 = 90

5x = 60

x = 12

This makes the first angle 12 and we can find the larger angle.

4x + 30

4 (12) + 3-

48 + 30

78