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How do you work out the number of sides in a regular polygon that has an interior angle?
Wiki User
∙ 11y ago
Restate the question: how do you find the number of sides in a regular polygon if you know the measure of an interior angle?
(If this is not your question, please resubmit the question with different wording.)
Subtract the interior angle from 180 deg - for example 180-160 = 20. Now divide 360 by this value: 360/20 = 18.
A regular polygon with interior angles of 160 degrees has 18 sides.
Wiki User
∙ 11y 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 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.
Is it possible for the interior angle of a regular polygon to be 154?
No. The sum of the exterior angles of a polygon sum to 360o For a regular polygon, they are all the same size ⇒ dividing 360o by the exterior angle gives the number of sides. Interior angle = 154o ⇒ exterior angle = 180o - 154o = 26o ⇒ number of sides = 360o ÷ 26o = 1311/13 sides But a polygon must have a whole number of sides ⇒ 154o cannot be the interior angle of a regular polygon.
What is the rule to get the number of sides of a regular polygon when given the interior angle?
180-interior angle = exterior angle 360/exterior angle = number of 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.
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.
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 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 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.
What is the number of sides of a regular polygon with 175 interior angle?
72.
How many sides are in a regular polygon with an interior angle of 172.5?
48 sides A formula for finding the number of sides of a regular polygon given an interior angle: 360/(180-angle)=sides
What is the rule to get the number of sides of a regular polygon when given the interior angle?
180-interior angle = exterior angle 360/exterior angle = number of sides
Is it possible for the interior angle of a regular polygon to be 154?
No. The sum of the exterior angles of a polygon sum to 360o For a regular polygon, they are all the same size ⇒ dividing 360o by the exterior angle gives the number of sides. Interior angle = 154o ⇒ exterior angle = 180o - 154o = 26o ⇒ number of sides = 360o ÷ 26o = 1311/13 sides But a polygon must have a whole number of sides ⇒ 154o cannot be the interior angle of a regular polygon.
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.
