What are the two angle measures of complementary angles expressed as 3x° and (2x−5)° ?(1 point) Responses 21° and 69° 21 degrees and 69 degrees 30° and 60° 30 degrees and 60 degrees 33° and 57° 33 degrees and 57 degrees 19° and 71° 19 degrees and 71 degrees
The two angle measures of complementary angles are expressed as 3x° and (2x-5)°.
To find the values of x, we set up the equation:
3x + (2x-5) = 90
Combining like terms, we have:
5x - 5 = 90
Adding 5 to both sides of the equation:
5x = 95
Dividing both sides by 5:
x = 19
So the two angle measures are:
3x = 3(19) = 57 degrees
2x - 5 = 2(19) - 5 = 33 degrees
Therefore, the correct answer is 33 degrees and 57 degrees.