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What is the sum of the angles of a regular 9- gon?
Exterior angles are 360 degrees Interior angles are 1260 degrees
What is the measure of an interior angle of a regular 9-gon?
Imagine connecting all the vertices of the regular 9-gon to the centre of the 9-gon. We have now created 9 triangles, so the sum of all their interior angles is 9*180 degrees = 1620 degrees. Notice that the sum of these angles is exactly the sum of the interior angles of the 9-gon, except we have created extra angles around the centre point. These extra make a circle, so they must add up to 360 degrees. Therefore is we substract 360 degrees from 1620 degrees we get the sum of all the interior angles of a regular 9-gon: 1620 degrees - 360 degrees = 1260 degrees. So finally, since there are 9 vertices, every single vertex must have an interior angle of 1260 degrees / 9 = 140 degrees.
What is the sum of the interior angles of a 9-gon?
The sum of the interior angles is (9-2)*180 = 7*180 = 1260 degrees.
Is the measure of a 9-gon exterior angles greater than the measure of a 4-gon exterior angles?
5
What is the measure of interior angles of a regular 9-gon?
Each interior angle measures 140 degrees.
What is a 9-gon?
A 9-gon is a polygon with nine sides and nine angles
What is the size of an interior angle in a hendecon?
Presumably the question concerns a hendecagon. The sum of the interior angles of a n-gon are (n-2)*180 degrees. For a hendecagon, the sum of the interior angles would be 9*180 = 1620 degrees. If the hendecagon is regular, then all its interior angles are equal, and each is then 1620/11 = 147.2727.. degrees.
One exterior angle of a regular polygon measures 40 degrees what is the sum of the polygons interior angle measure?
Sum of exterior angles = 360 degrees So there are 360/40 = 9 angles. Exterior angle = 40 deg so interior angle = 180 - 40 = 140 deg Nine angles, 140 deg each = 140*9 = 1260 degrees. Alternatively, once you know it is a nonagon (9-gon), sum of interior angles = (9-2)*180 = 7*180 = 1260 degrees.
What regular polygon has the sum of its interior angles add up to 1260?
It is a regular 9 sided polygon whose 9 interior angles add up to 1260 degrees
What is the sum of the measure of the exterior angles of a regular nonagon?
All exterior angles of any polygon sum to 360 deg. If there are 9 angles then each angle is 40 degrees.
Which is greater an exterior angle of a 9-gon or 4-gon?
5
What are the measurements of interior angles of a regular nonagon?
The sum of the interior angles of a nonagon is (9 - 2) x 180o = 7 x 180o = 1260o In a regular nonagon, each interior angle is 1260o ÷ 9 = 140o
