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Nov 22, 2017 · with regular polygons it is best to work with the exterior angles since the sum of exterior angles is 360o. one exterior angle = 180 − one interior angle. ∴ one ext.< = 180 −156 = 24o. no of sides = 360 24 = 15sides. Answer link.
Another example ... The Interior Angles of a Triangle add up to 180
People also ask
What is the interior angle of a regular polygon?
What is the interior angle of a regular convex polygon?
What are exterior angles of a polygon?
What do we know about regular polygons?
For example, a square has all its interior angles equal to the right angle or 90 degrees. The interior angles of a polygon are equal to a number of sides. Angles are generally measured using degrees or radians. So, if a polygon has 4 sides, then it has four angles as well.
- 3 min
- What are the interior angles of a polygon?Interior angles of a polygon are the angles that lie at the vertices, inside the polygon.
- What is the formula to find the sum of interior angles of a polygon?To find the sum of interior angles of a polygon, use the given formula: Sum = (n-2) x 180° Where n is the number of sides or number of angles of...
- How to find the sum of interior angles by the angle sum property of the triangle?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 hexag...
- What is the measure of each angle of a regular decagon?A decagon has 10 sides and 10 angles. Sum of interior angles = (10 – 2) x 180° = 8 × 180° = 1440° A regular decagon has all its interior angles...
- What is the sum of interior angles of a kite?A kite is a quadrilateral. Therefore, the angle sum of a kite will be 360°.
May 17, 2024 · Below, you'll find the polygon definition and a table with the names of polygons along with their shapes. After reading this short article, you'll know what a polygon is and how many sides a particular polygon has — keep reading, or simply give this calculator a go!
- Is It A polygon?
- Types of Polygons
- Remembering
Polygons are 2-dimensional shapes. They are made of straight lines, and the shape is "closed" (all the lines connect up).
Regular or Irregular
A regular polygon has all angles equal and all sides equal, otherwise it isirregular
Concave or Convex
A convexpolygon 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. (Think: concave has a "cave" in it)
Simple or Complex
A simple polygon has only one boundary, and it doesn't cross over itself. A complexpolygon intersects itself! Many rules about polygons don't work when it is complex.
Quadrilateral
A QuadBike has 4 wheels
Pentagon
The "Pentagon" in Washington DC has 5 sides
Hexagon
Honeycomb has Hexagons
We can learn a lot about regular polygons by breaking them into triangles like this: Notice that: the "base" of the triangle is one side of the polygon. the "height" of the triangle is the "Apothem" of the polygon. Now, the area of a triangle is half of the base times height, so: Area of one triangle = base × height / 2 = side × apothem / 2.
Mathematics. Angle Sum Property. The interior ... Question. The interior angle of a regular polygon is 156°. Find the number of sides of the polygon. Solution. The interior angle of a regular polygon is 156 deg. Hence each exterior angle is 180–156 = 24 deg. So the polygon has 360/24 = 15 sides. Suggest Corrections. 136. Similar questions. Q.
