What are the two angles measures of complimentary angles expressed as 3x and (2x-5)?
Complementary angles add up to 90 degrees.
So, we can set up the equation:
3x + (2x - 5) = 90
Combining the like terms:
5x - 5 = 90
Adding 5 to both sides:
5x = 95
Dividing both sides by 5:
x = 19
Now, we can substitute this value of x back into the expressions for the angles:
Angle 1: 3x = 3(19) = 57 degrees
Angle 2: 2x - 5 = 2(19) - 5 = 38 - 5 = 33 degrees
Therefore, the two angle measures of the complementary angles are 57 degrees and 33 degrees.