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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.
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.
What is the number of sides of a regular polygon if its sum of interior polygon is 5760?
It will have 34 sides
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.
The number of sides of a regular polygon is 7. Find the measure of each interior angle of the polygon?
a 7 sided polygon is heptagon and the interior angle of it is 128.57 degrees.
