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(number of sides - 2)*180 = sum of interior angles

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Q: What is the sum of a polygons interior angle?
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Related questions

One exterior angle of a regular polygon measures 40 What is the sum of the polygons interior angle measures?

1260 degrees


What is the measure of a polygons interior angle?

It is: 180-exterior angle = interior angle


What is the sum of the exterior angles of a non convex polygons?

The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.


What is the sum of the polygons interior angle measure if one exterior angle measure 40 degrees?

It is a 9 sided nonagon and its 9 interior angles add up to 1260 degrees


What is the sum of a polygons interior angle measure?

To calculate that, we use the formula (n-2)180 where n=number of sides of polygon.


What is the sum of the polygons interior angle if the exterior angle measures 40 degrees?

Providing that it's a regular polygon then its interior angles will add up to 1260 degrees with each of its 9 interior angles measuring 140 degrees.


How do you find the sum of interior angles on polygons?

180*2


What is the sum of the interior angles of polygons?

The sum of ANY interior angle is always 180(n-2) n being the number of sides of the polygon. and you are multiplying 180 times number of sides minus 2


What is the difference in finding the sum of the interior angle and each interior angle?

360


What is the angle sum of a pentagon?

For interior, the angle sum is 540 degrees, for exterior, the angle sum is 1260 degrees. * * * * * Partially correct! The sum of the exterior angles of any polygon is 360 degrees. The exterior angle is the supplement of the interior angle (180 - interior), NOT the reflex angle (360- interior). So the sum given 1260, which is based on the reflex angles is incorrect.


What is the exterior angle sum of a quadrilateral?

360o All polygons, not just quadrilaterals have an exterior angle sum of 360o.


Sum of interior angles of a polygon with 9 sides?

All polygons have an interior angle sum of 180(n-2) degrees where n is the number of sides. 180(9-2)=180*7=1260 degrees


What is the relationship between the interior and exterior angles in polygons?

An interior angle and the corresponding exterior angle add up to a straight angle. that is, they are supplementary.


One exterior angle of a regular polygon measures 30 what is the sum of the polygons exterior angle measures?

If the exterior angle is 30o then the shape has 360/30 = 12 sides. An interior angle = 180 - exterior angle = 180 - 30 = 150. Since the shape has 12 sides the interior angles sum to 150 x 12 = 1800o.


What is the measure of an angle of a regular dodecagon?

Interior Angle: 150 degrees (Interior Angle Sum: 1800) Exterior Angle: 30 degrees (Exterior Angle Sum: 360)


What is the interior angle sum of a triangle?

The sum of an interior angles of a triangle is 180 degrees.


What is the sum of an interior angle on a quadrilatral?

An interior angle is the inside angle of a shape e.g quadrilateral, square


Which regular polygons has the larger interior angle pentagon or square?

pentagon


Which of these two regular polygons has the larger interior angle?

square or octagon


How do you find the exterior angle from a interior angle?

The interior angle and the exterior angle are supplementary. That's why you learned about supplementary angles ... or at least they were presented in class ... before polygons.


Explain why regular polygons with more than 6 sides will not tessellate?

The tessellating polygons must meet at a point. At that point, the sum of the interior angles of the polygons must 360 degrees - the sum of angles around any point. Therefore, each interior angle must divide 360 evenly. The interior angles of regular polygons with 7 or more sides lie in the range (120, 180) degrees and so cannot divide 360.


Why will only three of the regular polygons tessellate the plane?

The tessellating polygons must meet at a point. At that point, the sum of the interior angles of the polygons must 360 degrees - the sum of angles around any point. Therefore, each interior angle must divide 360 evenly. There is no 1 or 2 sided polygon. The interior angle of a regular pentagon is 108 degrees which does not divide 360 degrees. The interior angles of regular polygons with 7 or more sides lie in the range (120, 180) degrees and so cannot divide 360.That leaves regular polygons with 3, 4 or 6 sides.


What is the sum of the exterior angle of a hexagon?

The sum of the exterior angles of all polygons is 360 degrees.


If the measure of one interior angle of a regular polygon is 90 degrees how many sides does the polygon have?

The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons.


The sum of three interior angle of a triangle is 180 verify it?

the Sum of the Interior of a triangle is 180