6. A figure shows two nonadjacent angles with measure (n + 6) and

3n°. If the angles are complementary, what is the equation for the angle measures?

1 answer

Since the angles are complementary, their measures add up to 90 degrees.

Therefore, we can write the equation as:
(n + 6) + 3n = 90

Simplifying the equation:
4n + 6 = 90

Subtracting 6 from both sides:
4n = 84

Dividing both sides by 4:
n = 21

So, the equation for the angle measures is: (21 + 6) and 3(21)