Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

three times the measure of an angle is equal to twice the measure of th…

Question

three times the measure of an angle is equal to twice the measure of the angles supplement. what is the measure of the angle? after you enter your answer press go.

Explanation:

Step1: Let the angle be $x$.

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

Step2: Set up the equation.

$3x=2(180 - x)$

Step3: Expand the right - hand side.

$3x = 360-2x$

Step4: Add $2x$ to both sides.

$3x + 2x=360-2x + 2x$
$5x=360$

Step5: Solve for $x$.

$x=\frac{360}{5}=72$
So the measure of the angle is $72^{\circ}$.

Answer:

$72^{\circ}$