Two complementary angles are expressed as 4x and 2x. What is the value of x and the two angle measures?(2 points)

Answer 1

Since the angles are complementary, their sum is 90 degrees:

4x + 2x = 90

Combining like terms:

6x = 90

Dividing both sides by 6:

x = 15

Now we can plug in x to find the angle measures:

4x = 4(15) = 60

2x = 2(15) = 30

So the two complementary angles are 60 degrees and 30 degrees.