Question

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

Answer 1

 Here, we need to set up an equation. So since the two angles need to add up to 90, and x will represent the angle, the initial equation will look like this. x=90-x. When you plugin the 14, it will look like x=14(90-x) and that gives you x=1490-14x. Add the 14x to the left and it becomes 15x=1490. Divide by 15 and you get x=84. That is the first angle. Now, we subtract 84 from 90 and we get 6. therefore the angles are 84 and 6 degrees.

Hope this is clear enough.

Answer 2

Answer: $6^{\circ}$ and $84^{\circ}$

Step-by-step explanation:

Let x be the measure of the angle ( in degrees), the measure of its complementary will be 14x.

We know that the sum of two complementary angles is 90°.

According to the question , we have

$x+14x=90\\\\\Rightarrow\ 15x=90\\\\\Rightarrow\ x=\dfrac{90}{15}=6$

Hence, the measure of angle is $6^{\circ}$ and its complementary is  $14(6)=84^{\circ}$