The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
3240 degrees
(number of sides-2)*180 = total sum of interior angles
Oh, dude, a regular polygon? That's like a shape where all the sides and angles are the same. So, if you want the interior angles to be 165.6 degrees, you can calculate it by dividing 360 (the total degrees in a circle) by the number of sides in the polygon. If you do the math and find a whole number of sides that gives you 165.6 degrees, then sure, you can have a regular polygon with interior angles of 165.6.
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.
Interior angles of n-sided polygon total (2n - 4) right angles or 180n - 360 degrees.
Interior angles of n-sided polygon total (2n - 4) right angles or 180n - 360 degrees.
(number of sides - 2)*180 = total sum of interior angles
(number of sides-2)*180 = total sum of interior angles
The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees.
(number of sides -2)*180 = sum of interior angles
(number of sides-2)*180 = total sum of interior angles
(number of sides-2)*180 = total sum of interior angles The total sum of exterior angles for any polygon add up to 360 degrees
(number of sides-2)*180+360 = total sum of interior and exterior angles of any polygon.
Your polygon has 60 sides. Total interior angles 116 x 90 = 10440 degrees. This works because interior angles of any n-sided polygon total (2n - 4 right angles or 180n - 360 degrees
The addition of an extra side increases the total of the internal angles by 180° The sum of the internal angles of a polygon = (number of sides - 2) × 180°
Oh, dude, a regular polygon? That's like a shape where all the sides and angles are the same. So, if you want the interior angles to be 165.6 degrees, you can calculate it by dividing 360 (the total degrees in a circle) by the number of sides in the polygon. If you do the math and find a whole number of sides that gives you 165.6 degrees, then sure, you can have a regular polygon with interior angles of 165.6.
The total for the interior angles depends on the number of sides. The formula for the total of interior angles of an n-sided polygon is sum =180(n-2). This is 180 degrees for triangles, 360 degrees for quadrilaterals, and 540 degrees for pentagons.
A triangle is a polygon that has three sides whose interior angles total 180 degrees.