Question

.

An angle measures 28° less than the measure of its complementarylangle. What is the
measure of each angle?

Answer 1

59° and 31°

Explanation:

Complementary angle sum 90°

a + b = 90

a = b - 28

then:

(b - 28) + b = 90

2b - 28 = 90

2b = 90 + 28

2b = 118

b = 118/2

b = 59°

a = b - 28

a = 59 - 28

a = 31°

Probe:

59° + 31° = 90°

Answer 2

59 degrees and 31 degrees.

Explanation:

Complementary angles form a 90 degree angle. Let's say that one angle measures x degrees. If one angle is x degrees, the other measures 28 degrees less. So, the other measures x - 28 degrees.

x + (x - 28) = 90

2x - 28 = 90

2x = 118

x = 59 degrees.

The other angle measure will then be 59 - 28 = 31 degrees.

Hope this helps!