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What are the number of sides of a regular polygon with interior angle 172 degrees?
To find the number of sides ( n ) of a regular polygon with an interior angle of 172 degrees, we can use the formula for the interior angle of a regular polygon: [ \text{Interior Angle} = \frac{(n-2) \times 180}{n} ] Setting this equal to 172 degrees gives: [ \frac{(n-2) \times 180}{n} = 172 ] Solving for ( n ), we find ( n = 22 ). Therefore, a regular polygon with an interior angle of 172 degrees has 22 sides.
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 many sides does the polygon have if its interior angle is 5940?
To find the number of sides ( n ) of a polygon given its interior angle, we use the formula for the interior angle of a regular polygon: [ \text{Interior angle} = \frac{(n-2) \times 180}{n} ] Setting this equal to 5940, we can rearrange and solve for ( n ). However, since 5940 is an unusually high angle, it suggests that the polygon is not regular or has been misinterpreted, as typical interior angles of polygons do not exceed 180 degrees. Thus, please check the angle value again, as standard polygons do not have an interior angle of 5940 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
One exterior angle of a regular polygon measures 40 What is the sum of the polygon's interior angle measures?
The sum of a regular polygon's interior angles is always equal to (n-2) * 180, where n is the number of sides in the polygon. Given that one exterior angle measures 40 degrees, we can find the interior angle by subtracting 40 from 180 degrees (since the exterior and interior angles are supplementary) to get 140 degrees. So, the sum of the interior angles of the regular polygon is 140 * n.
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
