Question

What is the value of n in the diagram below?

Answer 1

Answer:

n = 24

Step-by-step explanation:

(n + 18) and 2n are "complementary angles:"  they add up to 90°.

Thus, n + 18 + 2n = 90.  Combining the n terms results in 3n + 18 = 90.

Then 3n = 72.  Dividing both sides by 3 results in n = 24.

n is 24, so n + 18 is 42 and 2n is 48.  Note that 42 and 48 add up to 90.