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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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How many degrees are in the sum of an interior angle and exterior angle of a regular polygon?
180
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.
How many degrees are in the sum of an angle and an exterior angle of a regular polygon?
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360
What is the Sum of interior angle of polygon?
The sum of the interior angles of a polygon with n sides is 180*(n-2) degrees.
Can a convex polygon have an interior angle sum of 400 degrees?
No, a convex polygon cannot have an interior angle sum of 400 degrees. The sum of the interior angles of a convex polygon is always equal to (n-2) * 180 degrees, where n is the number of sides. Since the sum of the interior angles must be greater than 180 degrees for each interior angle, a convex polygon with an interior angle sum of 400 degrees would require at least 9 sides, which would make it a nonagon, not a polygon.
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.
How many degrees are in the sum of an interior angle and an exterior angle of a regular polygon?
180
How many degrees are in a sum of an interior angle and an exterior angle of a regular polygon?
180
How many degrees are in the sum of an interior angle and exterior angle of a regular polygon?
180
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.
How many degrees are in the sum of an angle and an exterior angle of a regular polygon?
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360
What is the Sum of interior angle of polygon?
The sum of the interior angles of a polygon with n sides is 180*(n-2) degrees.
What is the sum of interior and exterior angle of a polygon?
The sum of each pair of interior and exterior angles of a polygon is always 180 degrees.
What is the sum of the interior angle measure of a 6 polygon?
180 degrees because each angle is 300
What is the angle measure for a regular polygon?
The sum of the internal angles of an n-sided polygon is (n-2)*180 degrees. So, for a regular polygon, each internal angle is (n-2)*180/n degrees.
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.
