what are the! two Angle measures of complementary angles expressed as 3x ° and (2x - 5)° ?

Answer 1

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.