Question

(d) problem 20: the complement of an angle is half of its size. find the angle. after you enter your answer press go.

Explanation:

Step1: Define the angle

Let the angle be $x$.

Step2: Express the complement

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

Step3: Set up the equation

Since the complement is half of the angle's size, we have $90 - x=\frac{1}{2}x$.

Step4: Solve the equation

Add $x$ to both sides: $90=\frac{1}{2}x + x$. Combine like - terms: $90=\frac{3}{2}x$. Multiply both sides by $\frac{2}{3}$: $x = 60$.

Answer:

$60^{\circ}$