Question

If all of the angles of a hexagon are congruent, then what is the measure of each angle?

PLS GIVE THOROUGH EXPLANATION

Answer 1

120°

Explanation:

the equation for a polygon that has all equal sides, so congruent is a regular polygon. If you want to find each angle of the hexagon, the equation is (n-2)180/n. Knowing this and a hexagon has 6 sides, you are able to put in the variables.

(6-2)180/6=

4*180/6=

720/6=

120°

Answer 2

Given that the hexagon is a regular hexagon, this means that all the side length are congruent and all internal angles are congruent. Given the aforementioned definition of a regular polygon, this means that there must only be one correct answer.

In order to solve for the answer, the question provides additional information that isn't necessarily required. The measure of an internal angle can be solved for using the equation:

180∘(n−2)/n where n is the number of sides of the polygon.

Explanation: