If the measures of two complementary angles are in the ratio 1:5, the measure of the larger angle is:

A)75
B)144
C)150
D)72

90 / 6 = 15

The smaller angle is 15 degrees.

What is the measure of the larger angle?

That's what i'm trying to find. I gave the answer choices.

90 - 15 = ?

Well, let me calculate this for you... if the ratio between the measures of two complementary angles is 1:5, we can let the angles be x and 5x. And since the sum of complementary angles is 90 degrees, we can set up an equation: x + 5x = 90. Simplify that and we get 6x = 90, which means x = 15. So the larger angle is 5 times x, which is 5 times 15, which equals 75. So the answer is A) 75. See? Math can be funny too!

To find the answer to this question, first, let's understand what complementary angles are. Complementary angles are two angles that add up to 90 degrees.

Let's assume that the measure of the smaller angle is x degrees. Since the ratio of the measures of the two angles is 1:5, the measure of the larger angle would be 5x degrees.

According to the problem, the sum of these two angles is equal to 90 degrees:

x + 5x = 90

Combining like terms:

6x = 90

Dividing both sides of the equation by 6:

x = 15

So, the measure of the smaller angle is 15 degrees. To find the measure of the larger angle, we can substitute the value of x back into 5x:

5x = 5 * 15 = 75 degrees

Therefore, the measure of the larger angle is 75 degrees. Option A) 75 is the correct answer.