How many sides does a convex polygon have if the sum of the interior angles is 180?
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How many sides does a convex polygon have if the sum of the interior angles is 180?
It has 50 sides.
How many sides does a convex polygon have if the sum of its interior angles is 2880?
A polygon with 18 sides has an interior angle sum of 2880 degrees.
How many interior angles does a convex polygon have?
A strictly convex polygon is a convex polygonal such that no line contains two of its edges. In a convex polygon, all interior angles are less than or equal to 180 degrees, while in a strictly convex polygon all interior angles are strictly less than 180 degrees.
What is the angle of a convex polygon?
The interior angle of a convex polygon is strictly less than 180°. A polygon, with at least one interior angle, is greater than 180° is called a non-convex polygon or concave polygon. Sum of all the interior angles of a polygon of n sides = (n – 2)180°.
How many sides does a convex polygon have when the interior angle sum is 1980?
Hence, the polygon has 13 sides.
How many sides does a convex polygon have?
Convex – a straight line drawn through a convex polygon crosses at most two sides. Every interior angle is less than 180°. Concave – you can draw at least one straight line through a concave polygon that crosses more than two sides. At least one interior angle is more than 180°….
| Sides | Name |
|---|---|
| 12 | Dodecagon |
How many sides does a convex polygon have if the sum of its interior angles is to?
Example: The sum of the measures of the interior angles of a convex polygon is 3600ы. How many sides does the polygon have? Solution: (n-2)180=3600, so n-2=20, so s=22. Recall that a regular polygon is a polygon in which all of the sides have the same length and all of the angles have the same measure.
How many interior angles does a convex triangle have?
The General Rule
| If it is a Regular Polygon (all sides are equal, all angles are equal) | ||
| Shape | Sides | Each Angle |
|---|---|---|
| Triangle | 3 | 60° |
| Quadrilateral | 4 | 90° |
| Pentagon | 5 | 108° |
How do you find the measure of the interior angles of a convex polygon?
Starts here3:06Find the sum of the measures of the interior angles of each convex …YouTube
How do you find the interior angle of a convex polygon?
Theorem 39: If a convex polygon has n sides, then its interior angle sum is given by the following equation: S = ( n −2) × 180°.
How do you find the interior angles of 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.