Two complementry angles differ by 12 degrees, find the angles.

Let one of the angles be x.

Two complementary angles differ by = 12.

Bigger angle = (x + 12).

Complementary angles = 90.

x + x + 12 = 90

2x + 12 = 90

2x = (90 – 12)

2x = 78

x = 78 / 2

x = 39 = smallest angle

(x + 12) = 39 + 12 = 51 = biggest angle

The angles are 39, 51 degrees respectively.

 

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