6 (hexagon)
If each interior angle measures 120 degrees then it is an hexagon which has 6 sides
A hexagon has six equal interior angles and six equal exterior sides. Each interior angle is 120 degrees, making the total internal angles equal to 720 degrees.
180o. If the exterior angles are 120 the number of sides is 360/120 ie 3 so it's a triangle.
A regular polygon having an interior angle of 120 degrees will have 6 sides and is called an hexagon.
6 (hexagon)
If interior angles are 177o then exterior angles are 3o. Exterior angle times number of sides is always 360 so the polygon has 120 sides.
Each interior angle = 177 deg so each exterior angle = 3 deg [= 180-177] Sum of all exterior angles = 360 degrees, so number of exterior angles = 360/3 = 120 Number of sides = number of angles = 120 sides
The interior angles of a regular hexagon measure 120° A regular hexagon has all sides the same length and all angles are equal.
If each interior angle measures 120 degrees then it is an hexagon which has 6 sides
6 interior angles and each angle is 120 degrees
The formula for the total sum of the interior angles of a regular polygon is s = (n-2)*180, where s is the total sum if the interior angles, and n is the number of sides. Since the number of sides equal the number of angles, the total sum of the interior angles is also equal to n*177 (since there are n angles and each measures 177 degrees). Setting these to equation equal to each other results in: n*177 = (n-2)*180 Distribute: 177n = 180n - 360 Subtract 180n from both sides: -3n = -360 Divide both sides by -3 n = 120 A regular polygon with interior angles of 177 has 120 sides.
A hexagon has six equal interior angles and six equal exterior sides. Each interior angle is 120 degrees, making the total internal angles equal to 720 degrees.
180o. If the exterior angles are 120 the number of sides is 360/120 ie 3 so it's a triangle.
number of sides = 360/exterior angle = 360/120 = 3 polygon is therefore a triangle, interior angles total 180o
6
For a number of sides n the degree measure of the interior angles is 180(n-2). So 180*(6-2)=720 degrees each angle is 120 degrees :)