Three angles of a hexagon are congruent. The other three angles are also congruent, each with a measure twice that of the first three. What is the measure of each angle
Find the measure of each angle of a hexagon:
Let measure of each three congruent angle be .
Then measure of each next three congruent angles will be .
Find the sum of all angles of hexagon:
Sum of interior angles of Polygon is , where is number of sides of polygon.
Hexagon has sides. Hence, sum of interior angles of hexagon is
.
Therefore, we get:
,
Therefore, the measure of each of angle is as follows: