Question

the measure of an angle is fourteen times the measure of its complementary angle. what is the measure of each angle? $square^circ$ and $square^circ$

Explanation:

Step1: Define variables for angles

Let the complementary angle be $x$. The other angle is $14x$.

Step2: Use complementary angle property

Complementary angles sum to $90^\circ$.
$$x + 14x = 90^\circ$$

Step3: Simplify and solve for $x$

$$15x = 90^\circ$$
$$x = \frac{90^\circ}{15} = 6^\circ$$

Step4: Find the second angle

Calculate $14x$:
$$14x = 14 \times 6^\circ = 84^\circ$$

Answer:

$6^\circ$ and $84^\circ$