Table of Contents
What do the angles in a 10 sided shape?
A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° and they all add up to 1,440° .
How many angles a decagon have?
ten angles
So, the word decagon means ten angles.
What is the interior angle of 10 sides?
1440°
Sum of Interior Angles of a Polygon
| Polygon Name | Number of Interior Angles | Sum of Interior Angles = (n-2) x 180° |
|---|---|---|
| Septagon | 7 | 900° |
| Octagon | 8 | 1080° |
| Nonagon | 9 | 1260° |
| Decagon | 10 | 1440° |
What is the name of 10 sided shape?
Decagon
A polygon having 10 sides is called: A. Octagon B. Decagon C. Dodecagon D. None of these
| Shape | Number of sides |
|---|---|
| Nonagon | 9 |
| Decagon | 10 |
| Undecagon | 11 |
| Dodecagon | 12 |
What is the exterior angle of a decagon?
36°
Since each exterior angle and interior angle form a linear pair, one exterior angle of a decagon = 180 – 144 = 36°.
What is the exterior angle of a 10 sided shape?
In the regular decagon, all angles are equal. The sum of all exterior angles of the regular decagon is 360°. As the number of sides is 10 in a decagon. Therefore each exterior angle is equal to 36°(360° ÷ 10 =36°).
What is the sum of the exterior angles of a 10 sided polygon?
360°
We know that a decagon had 10 exterior angles, so, 10 × 36 = 360°. Hence, it is seen that the sum of the exterior angles of a decagon is 360°.
How many degrees are in a dodecagon?
1800°Dodecagon / Sum of interior angles
How do you draw a 10 sided shape?
Use the pentagon shape as an alternative method. Lightly draw and measure a regular pentagon. Lightly draw another identical pentagon directly over the original, rotated 180 degrees. Draw a line between each point of both pentagons to get a decagon shape.
How do you find the interior and exterior angles of a decagon?
Thus, sum of interior angles of decagon = (10-2) × 180° = 1440°. Also, the measure of each interior angle in a regular decagon can be found by dividing the sum and the number of the total sides in the decagon ⇒1,440/10 = 144°.
What are the properties of a decagon?
Convex polygon
Equilateral polygonIsogonal figureIsotoxal figureCyclic
Decagon/Properties
How many interior angles does a 10 sided polygon have?
A 10 sided polygon will have 10 angles. If the polygon is regular, all ten angles will be congruent. If the angles are congruent, each exterior angle will be 1/10 of 360 degrees, or 36 degrees. Then each interior angle will be 180 – 36, or 144 degrees.
What is the angle between the sides of a triangle?
The interior angles of a triangle always add up to 180 degrees, and the other two angles are equal, so each of them is (180-36)/2 = 72 degrees. The angle between each pair of sides is two of those, or 144 degrees. 5.8k views · View 5 Upvoters.
What is the angle at each vertex of a polygon?
Since the sides are equal, the interior angle at each vertex is = 144010 = 144 degrees. For any polygon, the total exterior angle is 360 degrees.
What are the sides and angles of a regular decagon?
The sides and angles are congruent in a regular decagon. The characteristics of a regular decagon are: All sides are equal in length and all the angles are equal in the measure in a regular decagon. Each interior angle in regular decagon measures 144º, while each exterior angle measures 36º.