what is the measure of each angle in a regular polygon with 3 sides?
what is the measure of each angle in a regular polygon with 3 sides?
Answer
Explanation:
Step1: Recall angle - sum formula
The sum of interior angles of a polygon is given by $(n - 2)\times180^{\circ}$, where $n$ is the number of sides. For $n = 3$, we have $(3 - 2)\times180^{\circ}=180^{\circ}$.
Step2: Divide by number of angles
A regular polygon has equal - measure angles. For a 3 - sided regular polygon (equilateral triangle), since there are 3 angles and the sum of interior angles is $180^{\circ}$, each angle measures $\frac{180^{\circ}}{3}=60^{\circ}$.
Answer:
$60^{\circ}$