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?
Table of Contents
- 1 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?
- 2 How many sides does a polygon have if the sum of its interior angle is 8 640?
- 3 How do you find the sides of a polygon with an interior angle sum?
- 4 What is sum of interior angles in a polygon?
- 5 How do you find sum of interior angles?
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.
How many sides does a polygon have if the sum of its interior angles is 1800?
Correct answer: Explanation: The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180(n – 2), where n is the number of sides. The problem concerns a polygon with twelve sides, so we will let n = 12. The sum of the interior angles in this polygon would be 180(12 – 2) = 180(10) = 1800.
How many sides does a polygon have if the sum of its interior angle is 8 640?
It has 50 sides.
What is the sum of the interior angles of the polygon in Figure 3?
The General Rule
| Shape | Sides | Sum of Interior Angles |
|---|---|---|
| Triangle | 3 | 180° |
| Quadrilateral | 4 | 360° |
| Pentagon | 5 | 540° |
| Hexagon | 6 | 720° |
How do you find the sides of a polygon with an interior angle sum?
Answer: To find the number of sides of a polygon when given the sum of interior angles, we use the formula: Sum of interior angles = (n – 2) × 180, where n is the number of sides.
How many sides does a polygon have if the sum of the interior angles is 720?
6 sides
Since the figure with angles measuring 0˚ is 1 lines, then the figure with interior angles of 720˚ has 1+5=6 sides.
What is sum of interior angles in a 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 the interior of the polygon?
The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.
How do you find sum of interior angles?
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 formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.