What do 5 sided polygons add up to?
Table of Contents
What do 5 sided polygons add up to?
540°
The General Rule
| Shape | Sides | Sum of Interior Angles |
|---|---|---|
| Pentagon | 5 | 540° |
| Hexagon | 6 | 720° |
| Heptagon (or Septagon) | 7 | 900° |
| Octagon | 8 | 1080° |
How many sides does a regular polygon have if each interior angle has a measure of 172?
Hence, regular polygon has 50 sides.
How many sides does a convex polygon have if the sum of its interior angles is 2160?
All regular polygons are convex polygons also. A regular polygon with interior angles adding up to 2160° would be a 14 sided polygon and each angle is 154 2/7°.
What is one exterior angle of a 5 sided polygon?
72°
Answer: The measure of each exterior angle of a regular pentagon is 72° A regular pentagon has all angles of the same measure and all sides of the same length.
What 2d shape has 5 sides?
pentagon
More than Four Sides A five-sided shape is called a pentagon. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides…
What is a 5 sided polygon?
A pentagon is a five-sided polygon. A regular pentagon has 5 equal edges and 5 equal angles.
What is the sum of 2 of the interior angles of a regular pentagon?
540∘
We know that a pentagon has 5 sides. Thus, n=5. Thus, the sum of interior angles of a pentagon is 540∘.
How many sides has a regular polygon whose exterior angle is one fifth of the interior angle?
12 sides
Given, there is a polygon whose exterior and interior angles are in the ratio 1:5. Let, there be n sides of that polygon. As, the sum of interior angles of any polygon is calculated by (n−2)×180∘ and sum of the exterior angle is equal to 360∘ . Therefore, there are 12 sides in the given polygon.
What are the characteristics of a regular polygon?
In a regular polygon, all the sides of the polygon are equal, and all the interior angles are the same. For example, a regular hexagon has six equal sides, and all its interior angles measure to 120 degrees. Few more examples are mentioned below.
Do polygons have equal sides and angles?
Regular polygons with equal sides and angles Polygons are two dimensional geometric objects composed of points and line segments connected together to close and form a single shape and regular polygon have all equal angles and all equal side lengths.
What is a polygon in math?
Polygon comes from Greek. Poly- means “many” and -gon means “angle”. A regular polygon has all angles equal and all sides equal, otherwise it is irregular A convex polygon has no angles pointing inwards. More precisely, no internal angle can be more than 180°. If any internal angle is greater than 180° then the polygon is concave.
How do you know if a polygon is irregular?
A polygon is irregular when its sides are not equal to each other and the measure of angles may also be unequal. For example, a rectangle is a four-sided polygon that has only opposite sides equal but the angles are all equal in measure. Hence, it is an irregular polygon.