Question

problem 19: (first taught in lesson 15) the complement of an angle is 16° less than the angle. 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

According to the problem, $90 - x=x - 16$.

Step4: Solve the equation

Add $x$ to both sides: $90=2x - 16$.
Add 16 to both sides: $2x=90 + 16=106$.
Divide both sides by 2: $x = 53$.

Answer:

$53^{\circ}$