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

Responses

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

1 answer

To find the complementary angles, we need to set the sum of the two angles equal to 90 degrees since complementary angles add up to 90 degrees.

3x + (2x-5) = 90

Combining like terms:
5x - 5 = 90

Adding 5 to both sides:
5x = 95

Dividing both sides by 5:
x = 19

So the two angles are:
3x° = 3 * 19° = 57°
(2x-5)° = (2 * 19 - 5)° = 33°

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