What are the two angles measures of complimentary angles expressed as 3x and (2x-5)?
A.21 and 69
B.30 and 60
C.19 and 71
D.33 and 57
To find the measures of two complimentary angles, we need to set up an equation where the sum of the two angles equals 90 degrees.
Let's assume that one angle measures 3x, and the other angle measures (2x-5).
Therefore, the equation can be written as:
3x + (2x-5) = 90
Combining like terms:
5x - 5 = 90
Adding 5 to both sides of the equation:
5x = 95
Dividing both sides of the equation by 5:
x = 19
Now, we can substitute the value of x back into the expressions for the angle measures:
Angle 1 = 3x = 3(19) = 57 degrees
Angle 2 = 2x - 5 = 2(19) - 5 = 38 - 5 = 33 degrees
Therefore, the measures of the complimentary angles are 57 degrees and 33 degrees.
The correct answer is D. 33 and 57.