The measure of an angle is fourteen times the measure of its complementary angle. What is the measure of each angle?

6 degrees and 84 degrees

Step-by-step explanation:

So if 2 angles are complementary, it means when added together they equal 90 degrees. Let's call the smaller angle x, meaning the bigger angle, which is 14 times the size of the smaller angle would be 14x. Now let's make that into an equation.

90 = 14x + x

We have to add the x's together

90 = 15x

Now we have to isolate x, so we have to divide by 15 on both sides.

X = 6

So we know that the smaller angle is 6 degrees, meaning that if the bigger angle is 14 times the size, the bigger angle is 84 degrees.

Let the measure of the complementary angle be x so that the measure of the other angle is 14x. The total measure of the angles is 180 degrees. Thus, one angle measures 12 degrees. The other angle measures 14*12=168 degrees.