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What is the measure of one interior angle of a regular 18-sided polygon?

Each interior angle measures 160 degrees


How do you find the number of sides a regular poly gon has by knowing the angles?

When a polygon is regular, each exterior angle is equal to the other exterior angles. Since the sum of all the exterior angles is 360 degrees, if you divide 360 by the measure of one exterior angle, you will get the number of sides. If you instead have the measure of an interior angle, simply calculate (180 - interior angle measure) to find the measure of the exterior angle, and use the above paragraph.


Find the number of sides a regular polygon must have to meet each condition each exterior angle measure is one eigth the measure of each interior angle?

An exterior angle of a regular polygon and its corresponding interior angle = 180° If an exterior angle is 1/8 of the interior angle (A) then A + A/8 = 180 : 9A = 1440 : A = 160 Each exterior angle is thus 180 -160 = 20° The number of sides = 360 ÷ exterior angle = 360 ÷ 20 = 18


What is the measure of one interior angle of a regular quadrilateral?

it's 90 degrees


How do you find angles of a parallelogram?

To find the angles of a parallelogram, you have to know at least one angle (although it could be an interior or an exterior angle). There are several facts about all parallelograms:the sum of the interior angles is 360˚ (true for all quadrilaterals)opposite angles are congruent (angles that are diagonal in parallelograms have the same measure)consecutive angles are supplementary (angles that are connected by a single side add up to 180˚)If you know any of the interior angles, you can use a combination of the above rules to find the rest. If all you know is an exterior angle, then use the fact that an interior angle and its exterior angle are supplementary (because they are a linear pair--they make a line) to find the measure of the interior angle; then use the rules given above.

Related Questions

How do you find a mesaure of an exterior angle on a triangle?

To find the measure of an exterior angle of a triangle, you can use the property that the exterior angle is equal to the sum of the two opposite interior angles. First, identify the exterior angle you want to measure, and then add the measures of the two non-adjacent interior angles. Alternatively, if you know the measure of one interior angle, you can subtract it from 180 degrees to find the exterior angle at that vertex.


How do you find the measure of an interior angle in a quadrilateral inscibed in a circle?

There is no specific limitation on any one angle of an inscribed quadrilateral.


What is the measure of one interior angle on a regular polygon with an interior angle sum of 2160 degrees?

It will have 14 sides and each interior angle will measure 2160/14 degrees


What is the measure of one interior angle of a regular 13 gon?

Each interior angle measures: 152o 18' 27.69''


What is the measure of one angle in a 16agon?

Each interior angle is 157.5


What is the measure of one interior angle of a regular decagon?

Each interior angle measures 144 degrees


What is the measure of one interior angle of a regular 24-gon?

Each interior angle is 165 degrees


Find the measure of one interior angle of a regular polygon with 16 sides?

75.32Improved Answer:-It is: 157.5 degrees


What is the degree measure of one interior angle?

120


What is the measure of one interior angle of a regular 18-sided polygon?

Each interior angle measures 160 degrees


Which is the measure of one interior angle of a regular pentagon?

180


What is the measure of one interior angle of a regular triangle?

60