0
A regular polygon with interior angles measuring 165 degrees each will have exterior angles measuring 15 degrees each, since each pair of interior/exterior angles forms a linear pair whose measures total 180 degrees. For any polygon, the sum of the exterior angles is 360 degrees. You can find how many sides, and therefore vertices, in the polygon by dividing 360 by 15. In this case, the polygon has 360/15 = 24 sides.
To determine the number of sides of a polygon with an interior angle of 165 degrees, we can use the formula for the interior angles of a polygon: (n-2) * 180 degrees, where n is the number of sides. Setting this equal to the given interior angle of 165 degrees, we get (n-2) * 180 = 165. Solving for n, we find n = 9 sides. Therefore, the polygon has 9 sides.
Well, isn't that a happy little question! If a polygon has an interior angle of 165 degrees, we can use the formula: sum of interior angles = (n-2) * 180 degrees, where n is the number of sides. So, for an angle of 165 degrees, we get (n-2) * 180 = 165. Solving for n, we find that the polygon has 12 sides. Happy painting!
Oh, dude, that's an easy one. So, like, to find the number of sides in a polygon, you just use the formula (n-2) * 180 = total interior angles. In this case, you have 165 degrees for each interior angle, so you just plug that in and solve for "n." So, like, the polygon has 11 sides. Easy peasy, right?
Add your answer:
Earn +20 pts
If the measure of the vertex angle of a regular polygon is 175 how many sides does the polygon have?
If each interior angle is 175 degrees then the polygon will have 72 sides
How many sides does a regular polygon have if the interior is 176 degrees?
If it's a regular polygon and each interior angle is 176 degrees then it will have 90 sides
What is the interior angle of a polygon that has 120 sides?
Exterior angle = 360/120 = 3 degrees. So interior angle = 180-3 = 177 degrees.
What are the polygon angle rules?
The sum of the EXTERIOR angles of a polygon is 360 degrees. The sum of the INTERIOR angles of a polygon with n sides is (n-2)*180 degrees. If it is a regular polygon, each interior angle is (n-2)/n*180 degrees.
How many sides does a regular polygon have with one interior angle measuring 140 degrees?
If the interior angle = 140 degrees, then the exterior angle = 180 degrees - 140 degrees = 40 degrees. So the number of sides is 360 degrees / 40 degrees = 9 sides (a nonagon).
How many sides does the polygon have if the interior angle is 6660 degrees?
how many sides does the polygon have is the interior angle is 6660 degrees? important please tell me...
What is the number of sides of a polygon with interior angle of 176?
If it is a regular polygon and each interior angle is 176 degrees then it will have 90 sides.
How many sides does a regular polygon if its interior angles are 270?
No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more.
If one interior angle is 165 degrees find the number of sides of the polygon?
If one interior angle is 165 degrees, find the number of sides of the polygon.
How many sides does a polygon with an interior angle measure of 120 degrees have?
A regular polygon having an interior angle of 120 degrees will have 6 sides and is called an hexagon.
What is the exterior and interior angles of a polygon with 30 sides?
A regular polygon of 30 sides will each have an exterior angle of 12 degrees and an interior angle of 168 degrees.
How many sides a polygon have with an angle 30?
Smallest possible interior angle of regular polygon is 60 degrees (triangle). The greater the number of sides, the greater each interior angle. If exterior angle is 30 degrees, the polygon has 12 sides.
If the measure of one interior angle of a regular polygon is 90 degrees how many sides does the polygon have?
The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons.
What is the Interior angle of a polygon with 15 sides?
The interior angles of a 15 sided polygon add up to 2340 degrees and if it is a regular polygon then each interior angle is 156 degrees.
Work out the number of sides of a regular polygon with the interior angle of 178?
If each interior angle is 178 degrees then the regular polygon will have 180 sides.
If a regular polygon has an interior angle of 157.5 degrees how many sides does?
The polygon has 16 sides :)
In a regular polygon the ratio of an exterior angle to the measure of an interior angle is 2 to13 how many sides does the polygon have?
Interior angle 156 degrees Exterior angle 24 degrees 360/24 = 15 sides
