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What is the sum of the interior angle of a 13-sided polygon?
The sum of the interior angles of a triangle is 180 deg. For a convex polygon with n sides we can divide it to n-2 triangles. So the answer, if the polygon is convex, is (13-2)*180= 1980 deg * * * * * The polygon need not be convex. The formula for the sum of the interior angles is valid as long as the polygon is simple - that it, its sides do not cross each other inside the polygon.
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.
The measure of each of the interior angles of a convex polygon must be less than blank degrees?
180
What is the measure of each interior angle in a convex polygon?
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. Divide that by the number of sides.
What are the interior angles of a polygon equal to?
The formula for calculating the TOTAL of the interior angles of an n-sided polygon is: Angle Sum = 180 (n-2) degrees *For a regular convex polygon, each of the identical interior angles will be 180(n-2)/n This will also be 180 - (360/n), supplementary to the exterior angle.
What the sum of the measures of the interior angles of each convex polygon 10-gon?
Sum of interior angles of a n-gon is 180*(n-2) So for a 10-gon (decagon), the sum would be 180*8 = 1440 degrees. That is true whether the polygon is convex or not (as long as its sides do not intersect).
What are some examples of convex polygon shapes?
All triangles and regular polygons such as squares, parallelograms, trapezoids, and rectangles are convex because each of their interior angles is less than 180o.
A regular polygon is a convex polygon with all sides congruent and all angles?
That is correct. For example, a hexagon is a 6 sided shape with each side equal length, an each interior angle 60°. ■
Is Each of the interior angles in a polygon are equal in measure.?
Only when it is a regular polygon that all interior angles are of equal measure
Are each of the interior angles of a polygon equal?
Only if it is a regular polygon.
A convex polygon has 7 sides and one angle at each vertex Whats is the sum of exterior angles?
The sum of the exterior angles of a convex polygon which has sides and one angle at each vertex is 360 degrees.
What polygon has less than 90 degrees?
Assume you are referring to polygons with interior angle measuring less than 90°There are few shapes that have that measurement. They are:isosceles triangle with no obtuse and right anglesequilateral triangle
