Question

(d) problem 17: the complement of an angle is 1.5 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 1.5 times the angle, so $90 - x=1.5x$.

Step4: Solve the equation

Add $x$ to both sides: $90=1.5x + x$. Combine like - terms: $90 = 2.5x$. Then $x=\frac{90}{2.5}=36$. So the angle is 36°.

Answer:

36°