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

Answer 1

Since two complementary angles add up to 90 degrees, we have:

(2x) + (3x) = 90
5x = 90
x = 18

Now we can find the measures of the two complementary angles:

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

Therefore, the two complementary angles are 36 degrees and 54 degrees.