How many sides does a polygon have if the sum of its interior angles is 2880?
So if the sum of your interior angles is 2880, you have an 18-sided polygon.
How many sides does a regular polygon have if the measure of an exterior angle is 20o?
Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides.
How many sides does a polygon have if the sum of the interior angles is three times larger than the sum of its exterior angles?
Learn how to find the sum of the interior angles of any polygon.
What is the sum of 2 of the interior angles of a regular pentagon?
540°
Sum of Interior Angles in a Pentagon We know that the sum of the interior angles of a polygon of n sides = (n – 2) × 180°. = 3× 180°= 540°. Hence, the sum of interior angles of a pentagon is 540°.
What is sum of interior angles of polygon?
To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal. The sum of exterior angles of a polygon is 360°.
What is the sum of interior angles of a regular polygon?
The sum of interior angles of a regular polygon is twice the sum of its exterior angles. Find the number of sides of the polygon. The sum of interior angles of a regular polygon is twice the sum of its exterior angles. Was this answer helpful?
How many sides does a regular polygon have?
The answer is 6 sides. First the problem is not written well. It should say the sum of the interior angles of a regular polygon is twice the sum of its exterior angles one at each vertex. The polygon is a hexagon. Each interior angle is 120 degrees. Each exterior is 60 degrees. The sum of the exterior angles one at each vertex is 460 degrees.
How do you find the exterior angle of a regular polygon?
Exterior angle = 180°-144° Therefore, the exterior angle is 36° The formula to find the number of sides of a regular polygon is as follows: Number of Sides of a Regular Polygon = 360° / Magnitude of each exterior angle
What is the sum of interior angles of a regular decagon?
To find the sum of interior angles of a polygon, multiply the number of triangles formed inside the polygon to 180 degrees. For example, in a hexagon, there can be four triangles that can be formed. Thus, 4 x 180° = 720 degrees. What is the measure of each angle of a regular decagon?