Question

Two angles are complementary and one of them is four times as big as the other.

What is the size of the larger of the two angles?

Answer 1

Two complementary angles have a sum of 90 degrees, and in this case, the larger angle is four times as big as the smaller angle.

Step-by-step explanation:

Let's say one angle is x degrees. Since the other angle is four times as big, it would be 4x degrees. We know that complementary angles add up to 90 degrees, so x + 4x = 90.

Combining like terms, we get 5x = 90. Solving for x, we divide both sides by 5, giving us x = 18.

Therefore, the larger angle is 4x = 4(18) = 72 degrees.

Learn more about Complementary angles