Question

The measure of an angle which is 36 degree more than its compliment is?

Answer 1

Let the two angles be x and x+36.

Thus x+x+36 = 90, or

2x = 90–36 = 54, so

x = 27.

Answer 2

Complementary angles add up to 90º

Define x:

Let one angle be x

The other angle be x + 36

Solve x:

x + (x + 36) = 90

x + x + 36 = 90

2x + 36 = 90

2x = 54

x = 27º

Find the angles:

one angle = x = 27º

The other angle = 90 - 27 = 63º

Answer: The angles are 27º and 63º