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What is the measure if each external angle of a regular polygon?
Wiki User
∙ 12y ago
That's going to depend on how many sides the polygon has. They're all different.
3 sides . . . each exterior angle = 120°
4 sides . . . each exterior angle = 90°
5 sides . . . each exterior angle = 72°
.
.
etc.
However, there's one simple way to determine what they are: they have to sum up to 360 (if you think about this for a minute, it will make a lot of sense), so each one will be 360/n where n is the number of sides.
Wiki User
∙ 12y ago
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What is the measure of a central angle of a regular ten sided polygon?
the center angle of any polygon is 360 degrees
What is the measure of a central angle for a regular polygon?
Each central angle is (360) divided by (number of sides in the polygon).
How do you measure sides of a regular polygon if each interior angle is 120?
A regular polygon with each interior angle measuring 120 degrees is a hexagon.
What is the measure of an interior of a regular polygon with 14 sides?
Two methods :_ 1) The sum of the interior angles of a regular polygon is 2n - 4 right angles. For a 14 sided polygon then (2 x 14) - 4 = 24 right angles = 24 x 90 = 2160° Therefore each interior angle = 2160 ÷ 14 = 154.29° (2dp) 2) The external angle of a 14 sided regular polygon = 360 ÷ 14 = 25.71° The interior angle = 180 - external angle = 180 - 25.71 = 154.29°
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.
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
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.
A regular polygon has an interior angle measure of 168 What kind of polygon is it?
A regular polygon having an interior angle measure of 168o has 30 sides and is called a triacontagon.
What is the largest exterior angle that any regular polygon can have?
The largest exterior angle measure is 120o. It is the exterior measure of an equilateral triangle (which is a regular polygon).
If the measure of an interior angle of a regular polygon is 140 how many sides does the polygon have?
If the measure of an interior angle of a regular polygon is 140o, the polygon is a nonagon (sometimes called an ennagon) having 9 sides.
What is the measure of each interior angle of a fifteen sided regular polygon?
The measure of each interior angle of a fifteen sided regular polygon, a pendedecagon, is 156o.
Why is 135degrees the measurement of an angle of an octagon?
The external angle of a polygon is equal to 360/n, n representing the number of sides in the polygon. Since an octagon has eight sides, the external angle of a regular octagon is 360/8 = 45 degrees. Since a straight angle in a polygon would be equal to 180 degrees, you subtract the measure of the external angle from this, to make an internal angle of 180 - 45 = 135 degrees.
What is the measure of each interior angle of a 18 sided regular polygon?
The interior angle of an octdecagon, an 18 sided regular polygon, is 160o.
How many sides does a regular polygon have if the measure of an angle is 20?
A regular polygon cannot have an interior angle that is less than 60 degrees.
What is the measure of one interior angle of a regular polygon with 4 sides?
A regular polygon with 4 sides is a square. The measure of any interior angle of a square is 90 degrees.
How much is each angle measure in a regular decagon 10 sides?
The external angles of a polygon total 360° . Therefore each external angle of a regular decagon measures 360/10 = 36° Therefore each INTERNAL angle measures 180 - 36 = 144°
What is the measure of an angle of a 27-gon?
The measure of a single internal angle of any regular polygon is equal to 180 (n - 2) / n. Therefore, an internal angle of a regular icosikaiheptagon (27-sided polygon) is equal to 13.3 recurring, or 13 and one third, degrees. It thereby follows that a measure of the external angle of the same polygon is equal to 180 - 13 and one third = 166.6 recurring, or 166 and two thirds, degrees.
