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The sum of the internal angles of a triangle = 180°

NOTE : This can also be solved from the formula for the sum of the external angles of a polygon = 2n - 4 right angles where n is the number of sides. 180° = 2 right angles.

Then, 2n - 4 = 2 : 2n = 2 + 4 : 2n = 6 : n = 3.

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Q: Which polygon has an angle sum of 180 degrees?
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What are the polygon angle rules?

The sum of the EXTERIOR angles of a polygon is 360 degrees. The sum of the INTERIOR angles of a polygon with n sides is (n-2)*180 degrees. If it is a regular polygon, each interior angle is (n-2)/n*180 degrees.


How did you get the answer to the angle sum of a dodecagon?

Sum of interior angles of a polygon = (Number of sides - 2)*180 degrees. So, for a polygon, (12 - 2)*180 = 10*180 = 1800 degrees.


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180


How many degrees are in the sum of an interior angle and exterior angle of a regular polygon?

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How many degrees are in the sum of an angle and an exterior angle of a regular polygon?

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What is the relationship between the number of triangles and the sum of the angle measures of the polygon?

In a polygon with n sides, the sum of the interior angles is given by (n-2) * 180 degrees. Each triangle has interior angle sum of 180 degrees. Therefore, the number of triangles that can be formed in a polygon is equal to (n-2) * 180 / 180, which simplifies to (n-2). In other words, the number of triangles is two less than the number of sides in the polygon.


What is the Sum of interior angle of polygon?

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What is the sum of interior and exterior angle of a polygon?

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What is the measure of the interior angle sum of a 13 sided polygon?

The sum of the interior angles of a n-sided polygon is (n-2)*180 degrees. So for 13 sides, the sum is 11*180 = 1980 degrees.