Math 7B Unit 3 Study Guide
7. Two complementary angles have measures (4n)" and (2n)*. What is the value of n? What is the value of each angle measure?
4n
J*. and 2n*
To find the value of n, we need to set up an equation using the fact that the angles are complementary.
Complementary angles add up to 90 degrees, so we can set up the equation:
4n + 2n = 90
Combining like terms, we get:
6n = 90
Dividing both sides by 6, we find:
n = 15
So the value of n is 15.
To find the value of each angle measure, we can substitute n = 15 into the expressions for the angles:
4n = 4 * 15 = 60
2n = 2 * 15 = 30
Therefore, one angle measures 60 degrees and the other angle measures 30 degrees.