How many sides does a regular polygon have whose interior and exterior angles are in ratio 2 ratio 1?
So, the polygon is 12 sides.
What is the ratio of interior and exterior angle of a regular polygon?
The ratio between exterior and interior angle of a regular polygon is 1:4.
What is the name of a polygon if the ratio of the interior to exterior angle is 7 2?
As sum of all exterior angles is 360∘ , total number of sides must be 360∘40∘=9 and polygon is nonagon. If it is not a regular polygon, 7:2 ratio must be between sum of all interior angles and sum of all interior angles. and n=7+2=9 and polygon is a nonagon.
How many sides does a regular polygon have whose interior?
We know the relation between exterior angle, interior angle. 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 interior angle of a polygon with 9 sides?
To find the value of an internal angle within this polygon, we can just multiply the number of triangles by 180 ° , then divide by the number of internal angles, which is nine. Excellent! So the interior angle of a 9 -sided polygon is 140 ° .
How many sides does a regular polygon have if each of its interior angles is 165?
24
Hence the number of sides a regular polygon has if its interior angle is 165 degrees are 24.
How many sides do regular polygons have?
Parts Of Regular Polygons As simple as they are, regular polygons still have six parts: Sides.
How many sides does a regular polygon have if measure of its each interior angle is 150?
12
Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.
What is the ratio of an angle to a polygon?
An exterior angle and an interior angle of a regular polygon are in the ratio 2: 7 . Find the number of sides in the polygon. An exterior angle and an interior angle of a regular polygon are in the ratio 2:7. Find the number of sides in the polygon.
How many sides does a regular polygon have?
The total angle of a regular polygon is (n-2)180° where n is number of sides. Hence the interior angle is (n-2)180°/n. Also, the exterior angle is 180°-interior angle which is equal to 360°/n. By your data their ratio is 7:2. Hence, Hence that regular polygon has 9 sides. Thank you… Hope it helps… 8 clever moves when you have $1,000 in the bank.
What are the interior and exterior angles of a polygon?
Exterior angles of a polygon are the angles at the vertices of the polygon, that lie outside the shape. The angles are formed by one side of the polygon and extension of the other side. The sum of an adjacent interior angle and exterior angle for any polygon is equal to 180 degrees since they form a linear pair.
What is the ratio of the interior angle to the exterior?
The ratio of the interior angle to the exterior of a regular polygon is 7:2. So, the sum of the interior and the exterior angle = 7x+2x = 9x = 180 or x = 20. Thus. the exterior angle is 40 deg. and the regular polygon has 360/40 = 9 sides.