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What is the sum of the measures of the angles in a convex polygon that is 900 degrees and how many sides does it have?
Wiki User
∙ 14y ago
This is quite simple as first we need to determine how to find the total of all angles in a polygon. Thus, we divide the polygon into triangles. Since every triangle is 180 degrees, and it should contain n - (3 - 1) = n - 2 triangles in a polygon ('n' is the number of sides). Thus, we multiply this by the number of degrees in a triangle (180o). Set to equal 900, and now we have:
900 = 180(n - 2)
Divide by 180, we have:
5 = n - 2
Add 2:
7 = n
Therefore, it is a septagon, a 7 sided figure.
Wiki User
∙ 14y ago
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Find the sum of the measures of the angles in a convex heptagon?
The sum of the angles is 900 degrees - and the polygon does not need to be convex.
What is the sum of measures of the interior angles of a convex polygon with 55 sides?
9540 degrees
What is the sum of the measures of the exterior angles of a triangle?
360 degrees (this is true with any convex polygon)
Ask us anythingWhat is the sum of the measures of the exterior angles of any convex polygon?
360 degrees
What is the sum of the measures of the interior angles of the convex polygon?
The sum of the interior angles of any polygon of n sides is equal to 180(n - 2) degrees.
What is the sum of the measures of the exterior angles of any convex polygon?
360 degrees - and it does not have to be convex.
Find the sum of the measures of the angles in a convex heptagon?
The sum of the angles is 900 degrees - and the polygon does not need to be convex.
What is the sum of the measures of the exterior angles of a convex decagon?
The sum of the exterior angles of ANY polygon, convex or concave, is 360 degrees.
What is the sum of measures of the interior angles of a convex polygon with 55 sides?
9540 degrees
What is the sum of the measurs of the exterior angles of a convex polygon with 17 sides?
360 degrees. The sum of the measures of the exterior angles any convex polygon will always be 360 degrees. The formula for finding the sum of the measures of the interior angles is 180(n-2) when n= the total number of sides the polygon has.
What is the sum of the measures of the exterior angles of a triangle?
360 degrees (this is true with any convex polygon)
Ask us anythingWhat is the sum of the measures of the exterior angles of any convex polygon?
360 degrees
What is the sum of the measures of the interior angles of the convex polygon?
The sum of the interior angles of any polygon of n sides is equal to 180(n - 2) degrees.
A convex polygon has17 sides what is the sum of the measures of its interior angles?
180(17 - 2) = 2,700 degrees.
What is the sum of the measures of the exterior angles of a convex hexagon?
The sum of the external angles of ANY convex polygon is 360 degrees. The sum of the internal angles is always equal to 180 (n-2) where n is the number of angles.
Is a star a convex polygon?
No. In a convex polygon, all the internal angles are smaller than 180 degrees.
What is a polygon that has no interior angles greater than 180 degrees?
A convex polygon.
