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

Answer 1

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

3x + (2x - 5) = 90

Combining like terms:

5x - 5 = 90

Adding 5 to both sides:

5x = 95

Dividing both sides by 5:

x = 19

So, the measure of the first angle is 3x = 3(19) = 57 degrees.

The measure of the second angle is 2x - 5 = 2(19) - 5 = 38 - 5 = 33 degrees.