What are the two angle measures of complementary angles expressed as 3x° and (2x − 5) °? (1 point)

30° and 60°
33° and 57°
19° and 71°
21° and 69°

1 answer

We know that two angles are complementary if their sum is equal to 90°.

So, we can set up the equation:
3x + (2x - 5) = 90

Combine like terms:
5x - 5 = 90

Add 5 to both sides:
5x = 95

Divide both sides by 5:
x = 19

Now we can substitute this value of x back into the expressions for the angles:
3x = 3(19) = 57

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

Therefore, the two angle measures of complementary angles are 57° and 33°.

The answer is: 33° and 57°.