What is the value of x in the regular polygon below?
hexagon with an interior angle value of 3x
please please help and thanks in advance. :)
B
D
A
D
C
120/3=40 so 40 is the answer right?
100% right thanks @christina822
@Christina822 is still correct 2022 January 10 :o
Yes.
Each angle of a hexagon is 120 degrees.
3x = 120
x = 120/3
x = ?
http://www.mathsisfun.com/geometry/interior-angles-polygons.html
its just a normal hexagon with an interior angle value of 3x. It doesn't have anything else to it. please help!!!
To find the value of x in the regular hexagon with an interior angle value of 3x, we can use the formula for the sum of interior angles in a polygon.
The formula to calculate the sum of interior angles in a polygon is given by:
Sum of interior angles = (n - 2) * 180 degrees,
where n represents the number of sides in the polygon.
For a regular hexagon, n = 6, so we can substitute this value into the formula:
Sum of interior angles = (6 - 2) * 180 degrees = 4 * 180 degrees = 720 degrees.
Since we are given that each interior angle value is 3x, we can set up the equation:
3x * 6 = 720 degrees.
Simplifying, we have:
18x = 720 degrees.
To isolate x, we divide both sides of the equation by 18:
x = 720 degrees / 18 = 40 degrees.
Therefore, the value of x in the regular hexagon with an interior angle value of 3x is 40 degrees.