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

Question

Options:
30 and 60 degree
19 and 71 degree
33 and 57 degree
21 and 69 degree

Answer 1

To find the measures of complementary angles, we set up an 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

Now we can substitute this value of x back into the expressions for the angles:

The first angle is 3x = 3(19) = 57 degrees.
The second angle is 2x - 5 = 2(19) - 5 = 38 - 5 = 33 degrees.

Therefore, the correct answer is 33 and 57 degrees.