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You use the fact that the sum of the interior angles of a regular polygon with n sides is:
180(n-2) degrees
Now you have the sum of measures of all the interior angles so divide that by n and you have the measure of each interior angle.
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What is the formula to find the interior angle for a regular polygon?
360/number of sides and deduct the quotient from 180 which will give the measure of each interior angle
How do you find the sum of angles in a n-sided polygon to give an expression for the measure of each interior angle of a regular n-gon?
It is: (number of sides -2)*180 = sum of interior angles If its a regular polygon then: sum of interior angles/number of sides = each interior angle
Find the measure of one interior angle of a regular polygon with 16 sides?
75.32Improved Answer:-It is: 157.5 degrees
How do you work out the number of sides in a regular polygon that has an interior angle?
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.
How do you find the interior angle of a decagon?
Its interior angles are: (10-2)*180 = 1440 degrees If its a regular 10 sided polygon then each interior angle is: 1440/10 = 144 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.
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.
Find the measure of an interior angle and an exterior angle of a regular polygon with 30 sides?
999999
If the measure of each interior angle of a regular polygon is 171 find the number of sides in the polygon?
40 sides
If a regular polygon has 8 sides find the size of each interior angle?
Each interior angle of the regular 8 sided octagon measures 135 degrees
The measure of each interior angle of a regular polygon is 144 degrees Find the number of sides of the regular polygon?
It will have 10 equal sides
What is the formula to find the measure of each interior angle of a regular polygon?
that's geometry so the formula to find the measure of each interior angle of a regular polygon is: Ia=stands for internal angle Ia=(n-2)180 ---------- n that's the formula.
Find the measures of an interior angle and an exterior angle of a regular polygon with 9 sides?
Each interior angle: 140 degrees Each exterior angle: 40 degrees
How do you find a exterior angle?
180-interior angle = exterior angle If it's a regular polygon then: 360/number of sides = exterior angle
What is the formula to find the interior angle for a regular polygon?
360/number of sides and deduct the quotient from 180 which will give the measure of each interior angle
The measure of an interior angle of a regular polygon is 150 degrees Find the number of sides?
AnswerIt is Dodecagon.To find this, you have to first find the exterior angle of the polygon. Since the exterior angle of a polygon is always supplementary to the interior angle, you subtract the measure of the interior angle from 180. 180-150=30. Now You divide 360 by the measure of the exterior angle to get the number of sides of the polygon. 360/30=12. A 12-sided polygon is called a dodecagon
How do you find the interior angle of a polygon?
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. Once you have the sum, divide by the number of sides to find an individual angle.
