Question

An angle measures 2° less than the measure of a complementary angle. What is the measure of each angle?

Answer 1

One angle measures 46 degrees and the other angle measures 44 degrees.

Step-by-step explanation:

Let's assume that one angle measures x degrees. According to the question, the other angle is 2 degrees less than the measure of its complementary angle. The sum of complementary angles is always 90 degrees, so the equation becomes:

x + (x - 2) = 90

Combining like terms:

2x - 2 = 90

Adding 2 to both sides:

2x = 92

Dividing both sides by 2:

x = 46

So one angle measures 46 degrees and the other angle is 2 degrees less, which is 44 degrees.

Answer 2

44 degrees and 46 degrees.

Step-by-step explanation:

If one angle is x degrees then its complementary angle is 90 - x degrees.

x is 2 degrees less than (90 - x) degrees so:-

(90 - x) - x = 2

90 -2x = 2

2x = 88

x = 44

the other angle = 90 - 44 = 46 degrees.