Question

problem 21: an angle is three times its supplement. find the measure of the angle. after you enter your answer press go.

Explanation:

Step1: Define the angle and its supplement

Let the angle be $x$. Its supplement is $180 - x$.

Step2: Set up the equation

Given that $x = 3(180 - x)$.

Step3: Expand the right - hand side

$x=540 - 3x$.

Step4: Add $3x$ to both sides

$x + 3x=540$, so $4x = 540$.

Step5: Solve for $x$

$x=\frac{540}{4}=135^{\circ}$.

Answer:

$135^{\circ}$