Two complementary angles have measures (2x) degrees and (3x) degrees. what is the value of x and the two angle measures?

Answer 1

Since the two angles are complementary, their measures must add up to 90 degrees. Therefore, we can write the equation:

(2x) + (3x) = 90

Combining like terms, we get:

5x = 90

To solve for x, we divide both sides of the equation by 5:

x = 90/5
x = 18

Now that we know the value of x, we can substitute it back into the equations to find the measures of the angles:

The first angle is 2x, so it is 2(18) = 36 degrees.
The second angle is 3x, so it is 3(18) = 54 degrees.

Therefore, the value of x is 18, and the two angle measures are 36 degrees and 54 degrees.