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Find the number of sides of a regular polygon with each interior angle equal to 171degrees?
2 methods: A: Exterior angles of polygon always add to 360 deg. In this case exterior angle = 180 -171 = 9 deg, so there are 360/9 ie 40 sides. B: Interior angles of an n-sided polygon always add up to (2n -4) right angles ie 90 x (2n - 4) deg so in this case 180n - 360 = 171n ie 9n = 360 so n = 40.
What else can I help you with?
How do you work out the exterior and interior angles of a regular polygon with W sides?
Exterior angle regular polygon = 360° ÷ number of sides = 360° ÷ W Interior angle regular polygon = 180° - exterior angle regular polygon = 180° - (360° ÷ number of sides ) = 180° - (360° ÷ W)
What is the number of sides of a regular polygon if one interior angle measures 90?
A four-sided regular polygon (square or rectangle) has 900 interior angles.
Describe the measure of an interior angle of a regular polygon as a function of the number of sides of the polygon verbally?
Each interior angle of a regular polygon has a measure that is equal to one hundred and eighty degrees times two less than the number of sides in the polygon.
What is the number of sides to a polygon with an interior angle 20?
A regular polygon cannot have an interior angle of less than 60 degrees. If it is not regular, then you haven't a hope of answering this question.
What is the total number of degrees on the interior angles of a regular 6 sided polygon?
A 6 sided polygon is called a Hexagon. The sum of the interior angles or a regular hexagon is 720 degrees.
Which polygon has the largest interior angle?
The polygon with the largest interior angle is a regular polygon, specifically a regular polygon with the greatest number of sides. In a regular polygon, all interior angles are equal, and the formula for calculating the interior angle of a regular polygon is (n-2) * 180 / n, where n is the number of sides. As the number of sides increases, the interior angle also increases. Therefore, a regular polygon with a very large number of sides will have the largest interior angle.
How do you find a number of sides of a polygon with the measure of its interior angle?
If its a regular polygon then 180-interior angle and divide the answer into 360 which will give the number of sides of the polygon.
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.
What is the number of sides of a regular polygon if its sum of interior polygon is 5760?
It will have 34 sides
If the measure of one interior angle of a regular polygon is 108 how many sides does the regular polygon have?
To find the number of sides of a regular polygon, you can use the formula: Number of sides = 360 degrees ÷ Measure of each interior angle. In this case, if one interior angle is 108 degrees, the regular polygon has 360 ÷ 108 = 3.33 sides. Since a polygon cannot have a fractional number of sides, we round down to the nearest whole number. Therefore, the regular polygon has 3 sides, which makes it an equilateral triangle.
How do you work out the exterior and interior angles of a regular polygon with W sides?
Exterior angle regular polygon = 360° ÷ number of sides = 360° ÷ W Interior angle regular polygon = 180° - exterior angle regular polygon = 180° - (360° ÷ number of sides ) = 180° - (360° ÷ W)
What is the number of sides of a regular polygon if one interior angle measures 90?
A four-sided regular polygon (square or rectangle) has 900 interior angles.
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.
Describe the measure of an interior angle of a regular polygon as a function of the number of sides of the polygon verbally?
Each interior angle of a regular polygon has a measure that is equal to one hundred and eighty degrees times two less than the number of sides in the polygon.
What is the number of sides of a regular polygon with 175 interior angle?
72.
What is the number of sides to a polygon with an interior angle 20?
A regular polygon cannot have an interior angle of less than 60 degrees. If it is not regular, then you haven't a hope of answering this question.
If the measure of each interior angle of a regular polygon is 178 what is the number of sides of the polygon?
180 sides!
