Question

problem 21 (first taught in lesson 16) the supplement of an angle is 4 times as large as the angle. find the angle. after you enter your answer press go. ° go

Explanation:

Step1: Define the angle

Let the angle be $x$ degrees. Then its supplement is $180 - x$ degrees (since supplementary angles add up to $180^\circ$).

Step2: Set up the equation

We know the supplement is 4 times the angle, so we can write the equation: $180 - x = 4x$.

Step3: Solve for $x$

First, add $x$ to both sides of the equation: $180 = 4x + x$.
This simplifies to $180 = 5x$.
Then, divide both sides by 5: $x = \frac{180}{5} = 36$.

Answer:

36