what are the! two Angle measures of complementary angles expressed as 3x ° and (2x - 5)° ?
To find the two angle measures of complementary angles, we need to set up an equation.
Complementary angles add up to 90 degrees.
So, we have:
3x + (2x - 5) = 90
Combining like terms, we get:
5x - 5 = 90
Adding 5 to both sides, we get:
5x = 95
Dividing both sides by 5, we get:
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 complementary angles are 57 degrees and 33 degrees.