What are the two angle measures of complementary angles expressed as 3x° and (2x−5)°?

Answer 1

Complementary angles add up to 90 degrees. So, we have the equation:

3x + (2x - 5) = 90

Combining like terms, we get:

3x + 2x - 5 = 90

5x - 5 = 90

Adding 5 to both sides, we have:

5x = 95

Dividing both sides by 5, we get:

x = 19

So, the two angles are:

3x° = 3(19)° = 57°

and

2x - 5° = 2(19) - 5° = 38 - 5° = 33°