Question
What are the two angle measures of complementary angles expressed as 3x degrees and (2x - 5) degrees?
A. 19 degrees and 71 degrees
B. 30 degrees and 60 degrees
C. 33 degrees and 57 degrees
D. 21 degrees and 69 degrees
A. 19 degrees and 71 degrees
B. 30 degrees and 60 degrees
C. 33 degrees and 57 degrees
D. 21 degrees and 69 degrees
Answers
GPT 3.5
The two angles are complementary, which means they add up to 90 degrees.
So, we have the equation:
3x + (2x - 5) = 90
Combining like terms:
3x + 2x - 5 = 90
5x - 5 = 90
5x = 95
x = 19
Therefore, the two angles are:
3x = 3(19) = 57 degrees
2x - 5 = 2(19) - 5 = 38 - 5 = 33 degrees
Therefore, the correct answer is:
C. 33 degrees and 57 degrees
So, we have the equation:
3x + (2x - 5) = 90
Combining like terms:
3x + 2x - 5 = 90
5x - 5 = 90
5x = 95
x = 19
Therefore, the two angles are:
3x = 3(19) = 57 degrees
2x - 5 = 2(19) - 5 = 38 - 5 = 33 degrees
Therefore, the correct answer is:
C. 33 degrees and 57 degrees