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

Answer 1

Let x be the measure of the angle.
The complementary angle is 90 - x degrees.
The measure of the angle is 14 times the measure of its complementary angle, so x = 14(90 - x).
Expanding the equation gives 14x = 1260 - 14x.
Adding 14x to both sides of the equation gives 28x = 1260.
Dividing both sides of the equation by 28 gives x = 45 degrees.
The complementary angle is 90 - 45 = 45 degrees.
Therefore, the measure of the angle is 45 degrees and its complementary angle is 45 degrees. Answer: \boxed{45}.