Given that the exterior angle of a regular hexagon is x, find the size of each interior angle of hexagon.
so 6x
6x = 360
6x/6 = 360/6
x = 60
Is that correct?
x = 60
is the correct solution for the exterior angles.
So, what does that tell you about the interior angles?
6x = 180
x = 30
NO!
If x is the exterior angle, and y is the interior angle
x+y = 180
Not x*y = 180
Yes, that is correct.
To find the size of each interior angle of a regular hexagon, you can use the fact that the sum of the exterior angles of any polygon is always 360 degrees.
In a regular hexagon, there are 6 exterior angles and they are all equal. Let's call the measure of each exterior angle x.
So, the sum of all the exterior angles is 6x.
Since the sum of all the exterior angles is equal to 360 degrees, we have the equation 6x = 360.
To find the value of x, we can divide both sides of the equation by 6: (6x)/6 = 360/6.
This simplifies to x = 60.
Therefore, each interior angle of the hexagon has a measure of 60 degrees.