What are the two angled measurements of a complimentary angle expressed as three x and two x minus five

Answer 1

Let's denote the measure of the first angle as 3x and the measure of the second angle as 2x - 5.

Since they are complementary angles, the sum of their measures is equal to 90 degrees.

So, we can write the equation:

3x + (2x - 5) = 90

Simplifying the equation:

5x - 5 = 90

Adding 5 to both sides of the equation:

5x = 95

Dividing both sides by 5:

x = 19

Now, we can substitute this value for x back into the expressions for the angles:

First angle: 3x = 3(19) = 57 degrees
Second angle: 2x - 5 = 2(19) - 5 = 33 degrees

Therefore, the measure of the first angle is 57 degrees and the measure of the second angle is 33 degrees.