A triangle
The formula for the sum of the interior angles of a polygon is: 180 * (n - 2) where n is the number of sides of the polygon. So the sum of the angles of a polygon with 25 sides is 180 * 23 = 4,140.
(number of sides-2)*180 = sum of the interior angles
The interior angles of an x-sided polygon would be: (x - 2) * 180. (20 - 2) * 180 = 3,240
The sum of the interior angles of a polygon can be found using the formula: (n-2) × 180° Therefore, the interior angles of a pentacontagon; a fifty-sided polygon, will add up to: (50-2) × 180° (48) × 180° 8640°
The sum of the exterior angles is 360°; for a regular polygon this gives:sum_exterior_angles = number_of_sides × exterior_angle = 360°→ number_of_sides = 360° ÷ exterior_angle = 15For any polygon, the sum of the interior angles is given by:sum_interior_angles = (number_of_sides - 2) × 180°→ sum_interior_angles = (15 - 2) × 180°→ sum_interior_angles = 13 × 180° = 2340°This can be checked since: 2340° ÷ 15 = 156° for the interior angle of a regular 15 sided polygon, andinterior_angle + exterior_angle = 180°→ exterior_angle = 180° - interior_angle→ exterior_angle = 180° - 156° = 24° (as given in the question).
If all of the interior angles of the polygon add up to 180 degrees, then the polygon is a triangle.
easy! triangle
The angles between adjacent sides of a polygon that are interior to the polygon. If the polygon is convex, the interior angles are always less than 180 degrees. If it is concave, at least one interior angle will be greater than 180 degrees.
(number of sides-2)*180 = sum of interior angles of a polygon
(number of sides-2)*180 = total sum of interior angles
The formula for the sum of the interior angles of a polygon is: 180 * (n - 2) where n is the number of sides of the polygon. So the sum of the angles of a polygon with 25 sides is 180 * 23 = 4,140.
Sum of interior angles of any polygon is 180 degrees.Another Answer:-The interior angles of a polygon with 33 sides add up to 5580 degrees using the formula (33-2)*180 = 5580
(number of sides-2)*180 = sum of the interior angles
A convex polygon.
The interior angles of an x-sided polygon would be: (x - 2) * 180. (20 - 2) * 180 = 3,240
The sum of the interior angles of a polygon can be found using the formula: (n-2) × 180° Therefore, the interior angles of a pentacontagon; a fifty-sided polygon, will add up to: (50-2) × 180° (48) × 180° 8640°
The sum of the exterior angles is 360°; for a regular polygon this gives:sum_exterior_angles = number_of_sides × exterior_angle = 360°→ number_of_sides = 360° ÷ exterior_angle = 15For any polygon, the sum of the interior angles is given by:sum_interior_angles = (number_of_sides - 2) × 180°→ sum_interior_angles = (15 - 2) × 180°→ sum_interior_angles = 13 × 180° = 2340°This can be checked since: 2340° ÷ 15 = 156° for the interior angle of a regular 15 sided polygon, andinterior_angle + exterior_angle = 180°→ exterior_angle = 180° - interior_angle→ exterior_angle = 180° - 156° = 24° (as given in the question).