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Find the number of sides of a regular polygon with an internal angle of size a.144 b. 140?
The sum of the exterior angles of any polygon is 360o. For a regular polygon, they are all the same, so 360o divided by the size of exterior angleo will give you how many sides the polygon has.
The interior and exterior angles of a polygon are supplementary and so sum to 180o.
So given the internal angle, subtract from 180o and then divide into 360o and you will have the number of sides.
- Interior angle = 144o
number of sides = 360o / 36o = 10 (a decagon).
- Interior angle = 140o
reader:
ext.a.=180-140=40
n. of s.=360/40=9
Thanks a lot!
What else can I help you with?
How many sides does a regular polygon have if the measure of an angle is 12?
The smallest internal angle possible for a regular polygon is 60 degrees. So either the angle is not 12 degrees or it is not an internal angle.
What would be one of the angle measurements of a regular polygon?
Each internal angle would be 180*(n-2)/n degrees where n is the number of sides in the polygon.
How do you work out the number of sides in a regular polygon that has an exterior angle?
With a regular polygon: 360/exterior angle = number of sides
How do you find the measure of one angle in a polygon?
For a regular polygon the internal angle between two sides is (180 - (360/n)) degrees where n is the number of sides. A regular polygon is one where all side lengths and angles are the same.
How many sides does a polygon have with an interior angle of 10 degrees have?
Well, honey, a polygon with an interior angle of 10 degrees would have 36 sides. Each interior angle of a polygon can be calculated using the formula (n-2) * 180 / n, where n is the number of sides. So, in this case, you would solve for n by setting 10 = (n-2) * 180 / n. Math can be a real hoot sometimes!
A regular polygon has an interior angle with a measure of 135how many side does the polygon have?
The number of sides of a regular polygon is 360 divided by the size of the exterior angle. The external angle is 180 - the internal angle. So for a regular polygon with an internal angle of 135 we get the following. 360 / (180 - 135) = 360 / 45 = 8 sides
How many sides does a regular polygon have if the measure of an angle is 12?
The smallest internal angle possible for a regular polygon is 60 degrees. So either the angle is not 12 degrees or it is not an internal angle.
Internal angle of 140 how many sides to the regular polygon?
That regular polygon would have 9 sides.
What would be one of the angle measurements of a regular polygon?
Each internal angle would be 180*(n-2)/n degrees where n is the number of sides in the polygon.
How do you work out the number of sides in a regular polygon that has an exterior angle?
With a regular polygon: 360/exterior angle = number of sides
How do you find the measure of one angle in a polygon?
For a regular polygon the internal angle between two sides is (180 - (360/n)) degrees where n is the number of sides. A regular polygon is one where all side lengths and angles are the same.
How many sides does a polygon have with an interior angle of 10 degrees have?
Well, honey, a polygon with an interior angle of 10 degrees would have 36 sides. Each interior angle of a polygon can be calculated using the formula (n-2) * 180 / n, where n is the number of sides. So, in this case, you would solve for n by setting 10 = (n-2) * 180 / n. Math can be a real hoot sometimes!
What is the angle measure for a regular polygon?
The sum of the internal angles of an n-sided polygon is (n-2)*180 degrees. So, for a regular polygon, each internal angle is (n-2)*180/n degrees.
How do you find the internal angle of a regular polygon?
you add the other 3 internal angles together and take the answer away from 180 and the number that is left is your answer.
What is the measure of 1 angle assuming the polygon is regular?
The sum of the internal angles of an n-sided polygon is (n-2)*180 degrees. So, for a regular polygon, each internal angle is (n-2)*180/n degrees.
Which polygon has the largest interior angle?
The polygon with the largest interior angle is a regular polygon, specifically a regular polygon with the greatest number of sides. In a regular polygon, all interior angles are equal, and the formula for calculating the interior angle of a regular polygon is (n-2) * 180 / n, where n is the number of sides. As the number of sides increases, the interior angle also increases. Therefore, a regular polygon with a very large number of sides will have the largest interior angle.
How can you tell if a polygon will tile plane?
A regular polygon will tile it if its internal angle divides 360 degrees.
