How many sides does a regular polygon have if the interior angle is 8 times the exterior angle?
18 sides
Given that each interior angle is 8 times the exterior. So, there are 18 sides for such a polygon given in question. Therefore, option (c) is correct for the given question.
What are the exterior and interior angles of a 8 sided polygon?
A regular octagon has eight equal sides and eight equal angles. (a) Calculate the size of each exterior angle in the regular octagon. We do this by dividing 360° by the number of sides, which is 8. The answer is 360° ÷ 8 = 45°….Question 2.
| (a) a regular decagon | exterior = ° |
|---|---|
| (b) a regular pentagon | interior = ° |
What is the exterior angle of a 8 sided polygon?
For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.
How many sides does a regular polygon have whose interior angle is 4 times its exterior angle?
The sum of the interior angle=4 times the sum of the exterior angles. Therefore the sum of the interior angles = 4 × 360° =1440°. Thus the number of sides in the polygon is 10.
How many sides has a regular polygon whose interior angle is 11 times its exterior angle?
Your answer is that the polygon has 24 sides. Each interior angle is 165 degrees. Each exterior angle is 15 degrees. Each interior angle is 165/15 = 11 times each exterior 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° |
What is the measure of an interior angle of a regular polygon of 8 sides?
135°
Octagon
| Regular octagon | |
|---|---|
| Coxeter–Dynkin diagrams | |
| Symmetry group | Dihedral (D8), order 2×8 |
| Internal angle (degrees) | 135° |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
What is the sum of a 8 sided polygon?
1080°
The sum of the measures of the interior angles of an octagon =(8−2)180° . The sum of the measures of the interior angles of an octagon is 1080° .
What is the sum of the exterior angles of an octagon *?
360 degrees
The exterior angle of an octagon measures 45 degrees and the sum of all exterior angles is 360 degrees.
What is the measure of each interior angle of a regular 8 Gon?
135 degrees
Because the octagon is regular, all of its sides and angles are congruent. Thus, the measure of each angle is equal to the sum of its angles divided by 8. Therefore, each angle in the polygon has a measure of 1080/8 = 135 degrees.
What is the size of each interior angle of a polygon?
The size of each interior angle of a regular polygon is 8 times the size of each exterior angle. Work – Brainly.com The size of each interior angle of a regular polygon is 8 times the size of each exterior angle.
How many sides does a polygon have with 8 degrees?
If each interior angle is 8 times the degree measure of each exterior angle how many sides does the polygon have. Now 8+1 = 9. Divide 180 by 9 to get 20. Next divide 360 by 20 to get 18. So the polygon has 18 sides.
What is the difference between polygons and regular polygons?
The polygons are the closed shape that has sides and vertices. 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. The interior angles of a polygon are equal to a number of sides. Angles are generally measured using degrees or radians.
What is the sum of interior angles of a regular pentagon?
For a regular pentagon, each angle will be equal to: 540°/5 = 108° 108°+108°+108°+108°+108° = 540° Sum of Interior angles of a Polygon = (Number of triangles formed in the polygon) x 180°