Question

On our math test, I made two complementary angles; one of the angles is 26 ̊more than the other. Identify the angles.

Answer 1

So,

Let x represent the first angle and y represent the second angle.

x + y = 90
x = y + 26

Substitute
y + 26 + y = 90

Collect Like Terms
2y + 26 = 90

Subtract 26 from both sides
2y = 64

Divide both sides by 2
y = 32

Substitute
x = 32 + 26
x = 58

Check
58 + 32 = 90
90 = 90 This checks.

58 = 32 + 26
58 = 58 This also checks.

The measure of one angle is 58° and the measure of the other angle is 32°.