Two complementary angles have measures (4x) degrees and (2x) degrees. What is the value of X and the two angle measures?

Answer 1

Complementary angles add up to 90 degrees, so we can write the equation:

4x + 2x = 90

Combining like terms, we get:

6x = 90

Dividing both sides by 6, we find:

x = 15

Substituting this value back into the given expressions for the angles, we get:

First angle measure: 4x = 4 * 15 = 60 degrees
Second angle measure: 2x = 2 * 15 = 30 degrees

So, the value of x is 15 and the two angle measures are 60 degrees and 30 degrees.