How many sides has a regular polygon with interior angles of 160?
If the interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.
How many sides does a regular polygon have if each interior angle is 162?
20
The number of sides of a regular polygon, if each of its interior angles is 162° is 20.
How many sides does a polygon have with interior angle 165?
24
Hence the number of sides a regular polygon has if its interior angle is 165 degrees are 24.
How many sides does a polygon have if the measure of each interior angle is 8 times the measure of each 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.
How do you find the sides of a regular polygon given the interior angle?
Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.
How many sides does 162 degrees have?
If all interior angles are 162o , polygon has 20 sides.
How many sides does a polygon have?
Other Types of Polygons
| Polygon | Number of Sides |
|---|---|
| Triangle | 3 |
| Quadrilateral | 4 |
| Pentagon | 5 |
| Hexagon | 6 |
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Dec 1, 2019
How many sides must a regular polygon have for each interior angle measure to equal each exterior angle measure?
So, since the exterior angle is 20°, this regular polygon had 360°/20° = 18 sides.
How many sides does a regular polygon?
24 sides
Thus, the regular polygon has 24 sides.
How many sides does a polygon have with an interior angle of 150?
12
Its interior angle has measure 150∘. Therefore, the exterior angle has measure 180∘−150∘=30∘. Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.
How much sides does a pentagon have?
| Pentagon | |
|---|---|
| An equilateral pentagon, i.e. a pentagon whose five sides all have the same length | |
| Edges and vertices | 5 |
| Internal angle (degrees) | 108° (if equiangular, including regular) |
How many angles does a pentagon have?
5
There are 5 interior angles in a pentagon. Divide the total possible angle by 5 to determine the value of one interior angle. Each interior angle of a pentagon is 108 degrees.
How many sides does a polygon have with an interior angle of 144?
It’s a polygon with 10 sides.
How many sides does a polygon have with an interior angle of 140?
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).
How many sides does a polygon have if the sum of the interior angles is 3780 { circ ∘?
A polygon with 23 sides has a total of 3780 degrees. total interior angles = (n – 2)180°, where n is the number of sides.
How many sides does a polygon have with an interior angle of 179?
So both methods lead us to the same conclusion, which is it the polygon has 360 sides.
How many sides does a polygon have if the sum of the interior angles is 2340?
15 sides
If the sum of the measures of the interior angles of a polygon is 2340°, how many sides does the polygon have? Use the equation “sum of interior angles = (n – 2)180º ” to write an equation and solve for n. The solution is shown at right. Since n = 15, the polygon has 15 sides.
How many sides does a polygon have with an interior angle of 180?
How many sides does the polygon have? Solution: (n-2)180=3600, so n-2=20, so s=22. Recall that a regular polygon is a polygon in which all of the sides have the same length and all of the angles have the same measure.
How many sides does a polygon with an interior angle of 5400 have?
Hence, the polygon has 32 sides.
How many sides does a polygon have if the sum of the interior angles is 3240?
20 sides
There we go, 20 sides.
Can a regular polygon have an interior angle of 156?
Answer: The interior angle of a regular polygon is 156 deg. … So the polygon has 360/24 = 15 sides.