216k views
0 votes
Each interior angle of a regular polygon measures 120°. what is the name of the polygon?

User Sifnos
by
7.8k points

1 Answer

2 votes
the total angel of any polygons is (n as the totap side of the polygon)
(n - 2) x 180°

now we can substitute 120° into this formula
(n - 2) x 180° / n = 120° (because we're calculating each angle from the polygon, so we need to divide the equation by n)
(180n - 360) = 120n
180n - 120n = 360
60n = 360
n = 6
a 6 side polygon is hexagon.
User Ratnesh Maurya
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.