Given that exterior angle of a regular hexagon is x, find the size of each interior angle of the hexagon.
since there are 6 sides, the 6 exterior angles add up to 360.
The interior angle and the exterior angle are supplementary.
so, ...
H p
To find the size of each interior angle of a regular hexagon, we can use the fact that the sum of the interior angles of a hexagon is equal to (n - 2) * 180 degrees, where n is the number of sides of the polygon.
A regular hexagon has 6 sides, so we can substitute n = 6 into the formula:
Sum of interior angles = (6 - 2) * 180 degrees
Sum of interior angles = 4 * 180 degrees
Sum of interior angles = 720 degrees
Since a hexagon has 6 interior angles that are all equal, we divide the sum of interior angles by the number of angles to find the size of each interior angle:
Size of each interior angle = Sum of interior angles / Number of angles
Size of each interior angle = 720 degrees / 6
Size of each interior angle = 120 degrees
Therefore, the size of each interior angle of the regular hexagon is 120 degrees.
To find the size of each interior angle of a regular hexagon, you can use the formula:
Interior angle = 180° - Exterior angle
Given that the exterior angle of the hexagon is x, you can substitute it into the formula:
Interior angle = 180° - x
So, the size of each interior angle of the hexagon is 180° - x.