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

Question

x = __, (2x) degrees = __ degrees, and (3x) degrees = __ degrees

Answer 1

To find the value of x, we know that the sum of the measures of complementary angles is 90 degrees. Therefore, we have:

2x + 3x = 90
5x = 90
x = 90/5
x = 18

Now we can find the measures of the angles:

(2x) degrees = 2 * 18 = 36 degrees
(3x) degrees = 3 * 18 = 54 degrees

Therefore, x = 18, (2x) degrees = 36 degrees, and (3x) degrees = 54 degrees.