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

Answer 1

If two angles are complementary, their measures add up to 90 degrees.

So, we can set up the equation:

3x + (2x-5) = 90

Combining like terms, we get:

5x - 5 = 90

Adding 5 to both sides:

5x = 95

Dividing both sides by 5:

x = 19

So, the measures of the two angles are:

3(19) = 57 degrees

and

2(19) - 5 = 33 degrees