Two complementary angles have measures (4n) and (2n). What is the value of n? What is the value of each angle measure?
Complementary angles are two angles whose measures add up to 90 degrees. Therefore, we have the equation:
(4n) + (2n) = 90
Combining like terms, we get:
6n = 90
Dividing both sides by 6, we find:
n = 15
Substituting this value back into the expressions for the angle measures, we get:
First angle: 4n = 4(15) = 60 degrees
Second angle: 2n = 2(15) = 30 degrees
So, the value of n is 15, and the angle measures are 60 degrees and 30 degrees.