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What is the number of sides of a regular polygon if one interior angle measures 108?
Wiki User
∙ 13y ago
5 sides and it is a regular pentagon
Wiki User
∙ 13y ago
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Is there a formula for finding the measure of interior angle of a regular polygon?
Yes and it is: sum of interior angles/number of sides
How many sides of a regular polygon with interior angles of 178?
Interior angles 178 so exterior angles 2. Number of sides of any regular polygon = 360/exterior angle You polygon has 180 sides. Bet you're glad you didn't have to sketch it!
The measure of an interior angle of a regular polygon is 120?
If the interior angle is 120° then the external angle is 180 - 120 = 60° Number of sides = 360 ÷ 60 = 6. The polygon is a Hexagon.
How many sides would a regular polygon have if each exterior angle measures 8 degrees?
The sum of the exterior angles of a regular polygon = 360° If an exterior angle measures 8° then the number of sides = 360/8 = 45
What regular polygon has interior angle 177?
If interior angles are 177o then exterior angles are 3o. Exterior angle times number of sides is always 360 so the polygon has 120 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.
What is the measures of the interior angles of a regular polygon if each exterior angle measures 72?
The interior angle of any regular polygon can be calculated using the formula 180 * (n - 2) / n, where n is the number of sides. In this case, since each exterior angle measures 72 degrees, the interior angle would be 180 - 72 = 108 degrees. So the measures of the interior angles in this regular polygon would be 108 degrees.
As the number of sides in a regular polygon increases what happens to the measure of an interior angle?
As the number of sides in a regular polygon increases, the angle increases. This occurs as a function where each interior angle measures (180*(n-2)) / n, where n is the number of sides.
What is the number of sides of a re gular polygon if one interior angle measures 108?
A polygon with interior angle measures of 108 would be a pentagon
Which regular polygon has interior angles with measures greater than 130?
For the interior angle of a regular polygon to be greater than 130° then the exterior angle must be less than 50°. The exterior angles of a regular polygon total 360°. 360/50 = 7.2 ....this needs to be rounded up to the next whole number. Therefore a regular polygon with 8 or more sides has interior angles measuring 130° or greater.
What is the number of sides of a regular polygon if one angle measures 140 degrees?
Since the interior angle measure of the regular polygon is 140⁰, its exterior angle measure is 180⁰ - 140⁰ = 40⁰. Since the sum of the exterior angle measures is 360⁰, the polygon has 360⁰/40⁰ = 9 sides.
What is the sum of the interior angle measures of a 21-sided polygon?
The sum of the interior angles of a polygon is 2n - 4 right angles where n is the number of sides. When n = 21 then 2n - 4 = 42 - 4 = 38 right angles = 38 x 90 = 3420°. NOTE : If the polygon is a regular polygon then each interior angle measures 3420 ÷ 21 = 162.86°.
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.
If each interior angle of a regular polygon measures 170 degrees what is the total number of sides in the polygon?
170n = 180n - 360 so 10n = 360 so n = 36
If the measure of each interior angle of a regular polygon is 176 what is the number of sides of the polygon?
The equation for finding the interior angle measures of a regular n-gon is (n-2)*180/n. Thus, if this is set equal to 176 and solved for n, n is found to be 90. Therefore, a regular polygon with each interior angle measure equal to 176, has 90 sides.
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.
What is the number of sides of a regular polygon if one angle measures 172 degrees?
If one interior angle measures 172° then the corresponding exterior angle measures 180 - 172 = 8°. The number of sides = 360 ÷ 8 = 45.
