Question

Two angles are complements of each other. If the first angle is fives times the second angle, what is the measure of the

first angle?
15 degrees
18 degrees
75 degrees

Answer 1

If two angles are complements of each other, it means they add up to 90 degrees.

Let's say the measure of the second angle is x degrees.

According to the given information, the measure of the first angle is five times the second angle, so it would be 5x degrees.

Since the two angles are complements, we can set up the equation:
x + 5x = 90

Simplifying the equation:
6x = 90

Solving for x:
x = 15

So, the measure of the first angle is 5 times the second angle, which is 5 * 15 = 75 degrees.

Therefore, the correct answer is 75 degrees.