Question

What are the two angle measures of complementary angles expressed as 3x°

and (2x−5)°
?

A. 33° and 57°

B. 19°and 71°

C. 30° and 60°

D. 21°and 69°

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the two angles, we need to set up an equation.

Complementary angles add up to 90 degrees. So, we have 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

Now, we can substitute x = 19 into the expressions for the angles:

Angle 1: 3x = 3(19) = 57°
Angle 2: 2x - 5 = 2(19) - 5 = 38 - 5 = 33°

Therefore, the two angle measures of complementary angles expressed as 3x° and (2x - 5)° are 57° and 33°.

The answer is A. 33° and 57°.