What are the two angle measures of complementary angles expressed as 3x degrees and 2x-5 degrees?

A 33 and 57

B 19 and 71

C 21 and 69

D 30 and 60

1 answer

To find the two angle measures of complementary angles, we set up the equation:

3x + 2x - 5 = 90

Combining like terms, we get:

5x - 5 = 90

Adding 5 to both sides, we have:

5x = 95

Dividing both sides by 5:

x = 19

To find the two angle measures, we substitute x = 19 into the expressions:

3x = 3(19) = 57

2x - 5 = 2(19) - 5 = 38 - 5 = 33

So, the two angle measures are 57 degrees and 33 degrees.

The correct answer is A) 33 and 57.