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Find the number of sides of a regular polygon with each interior angle equal to 171degrees?
Wiki User
∙ 15y ago
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.
Wiki User
∙ 15y ago
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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.
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.
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 its sum of interior polygon is 5760?
It will have 34 sides
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 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.
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.
If the measure of each interior angle of a regular polygon is 178 what is the number of sides of the polygon?
180 sides!
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.
