Question

a complement of an angle is 5 times as large as the angle. find the angle. after you enter your answer press go.

Explanation:

Step1: Define the angle

Let the angle be $x$.

Step2: Define its complement

The complement of the angle $x$ is $90 - x$.

Step3: Set up the equation

Given that the complement is 5 times the angle, so $90 - x=5x$.

Step4: Solve the equation

Add $x$ to both sides: $90=5x + x$, which simplifies to $90 = 6x$. Then divide both sides by 6: $x=\frac{90}{6}=15$. So the angle is $15^{\circ}$.

Answer:

$15^{\circ}$