Table of Contents
- 1 What is a regular polygon with an exterior angle of 40?
- 2 What is the sum of the exterior angles of a 40 sided polygon?
- 3 What is the interior angle of regular polygon?
- 4 How do you find the exterior angle of a 40 sided polygon?
- 5 How many interior angles does a regular polygon have?
- 6 Is it possible to have a regular polygon with measure of each exterior angle 45?
- 7 How many sides are in a regular polygon that has 40°?
- 8 How do you find the interior and exterior of a polygon?
What is a regular polygon with an exterior angle of 40?
A regular polygon with exterior angles of 40o would have 9 side and be a nonagon.
What is the sum of the exterior angles of a 40 sided polygon?
In geometry, a tetracontagon or tessaracontagon is a forty-sided polygon or 40-gon. The sum of any tetracontagon’s interior angles is 6840 degrees….Tetracontagon.
| Regular tetracontagon | |
|---|---|
| A regular tetracontagon | |
| Type | Regular polygon |
| Edges and vertices | 40 |
| Schläfli symbol | {40}, t{20}, tt{10}, ttt{5} |
How many sides does a polygon have if each of its interior angles measures 140 degrees?
9
What is the name of a polygon whose interior angles are each 140°? Subtract both sides by 180°n. = 9. Therefore, the number of sides is 9 (nonagon).
Is it possible for a regular polygon with each exterior angle measure 40\% of a right angle?
Hence it is possible to have a regular polygon whose exterior angle is 40\% of the right angle.
What is the interior angle of regular polygon?
A regular polygon has all its interior angles equal to each other. For example, a square has all its interior angles equal to the right angle or 90 degrees….Interior angles of Regular Polygons.
| Regular Polygon Name | Each interior angle |
|---|---|
| Pentagon | 108° |
| Hexagon | 120° |
| Septagon | 128.57° |
| Octagon | 135° |
How do you find the exterior angle of a 40 sided polygon?
Explanation:
- the sum of the exterior angles =360∘
- ⇒exterior angle =360∘n.
- here n=40.
- ⇒exterior angle =36040=9∘
How do you find the size of one interior angle of a regular polygon with 40 sides?
A regular polygon is a polygon having all of its sides equal and all the angles equal. The simplest polygon is the triangle and the sum of its angles is 180°. Now, each angle is the sum of the total angles divided by the number of sides. Hence, the angle of the regular polygon with 40 sides is 171°.
What is the formula for each interior angle in a regular polygon?
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.
How many interior angles does a regular polygon have?
Is it possible to have a regular polygon with measure of each exterior angle 45?
Sum of exterior angle of any polygon is 360o . As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 .
Can a regular polygon have a measure of each exterior angle as 45 yes or no?
Answer: No it is not possible to have a regular polygon each of whose interior angle is 45°.
Which angle is greater than each exterior angle in a polygon?
SOLUTION: in a regular polygon each interior angle is 140 degrees greater than each exterior angle.calculate the number of sides of the polygon. Question 511707: in a regular polygon each interior angle is 140 degrees greater than each exterior angle.calculate the number of sides of the polygon.
How many sides are in a regular polygon that has 40°?
How many sides are in a regular polygon that has exterior angles of 40°? A regular polygon with exterior angles of 40o would have 9 side and be a nonagon. The exterior angles of any regular polygon must add up to 360o. Since the angle measure given iin the questions s 40o, take 360o 40o = 9.
How do you find the interior and exterior of a polygon?
Extend a side at each exterior angle and count those angle. The exterior angles of any polygon have a sum of 360. So we now will divide 360 by the number of sides or angles into 360 and this gives you the size of the exterior angle. Subtract that angle from 180 and this gives you the size of the interior angle.
What is the sum of the interior angles of a regular polygon?
Each exterior angle of a regular polygon = 40. So the regular polygon has 360/40 = 9 sides. Additional information: It has 9 (9=3)/2 = 27 diagonals. Sum of the interior angles = 9_140 = 1260 deg.