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What is the sum of the measures of the exterior and interior angles of a convex 24-gon?
Wiki User
∙ 12y ago
The sum of the exterior angles of any convex polygon is always 360 degrees.
The sum of the interior angles of any convex n-gon is (n-2) * 180 degrees, because any convex n-gon can be represented as n-2 triangles, and the sum of the interior angles of a triangle is 180 degrees.
Wiki User
∙ 12y ago
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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 the angle measures of a convex octagon?
Exterior angles add up to 360 degrees Interior angles add up to 1080 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 any convex polygon?
360 degrees - and it does not have to be convex.
Can you find the sum of the measures of the interior angles of a convex 70-gon?
Yes
What is the sum of the measures of the interior angles of a convex?
It depends on convex WHAT!
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 the angle measures of a convex octagon?
Exterior angles add up to 360 degrees Interior angles add up to 1080 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 any convex polygon?
360 degrees - and it does not have to be convex.
What is the sum of the measures of the exterior angles of any convex polgon?
180
For a convex 35-gon what is the sum of the measures of the interior angles?
the sum of the interior angles of a 35-gon.
How do you find the sum of the measures of the angles of a quadrilateral?
I'm not sure if you mean interior or exterior angles, so I'll give you an answer for both.For interior angles:The sum of the measures of the *interior* angles of a quadrilateral is always 360 degrees. To understand why this is true, recall that the sum of the interior angles of a triangle is 180 degrees. Now, in any quadrilateral, we can draw a diagonal, splitting it into two triangles.So, the sum of the interior angles of the quadrilateral will be the sum of all of the interior angles of the two triangles, in other words, 2x180.In general, an n-gon can be divided into n-2 triangles, so the sum of the interior angles of an n-gon is 180x(n - 2) = 180xn - 360For exterior angles:The sum of the exterior angles of any closed, convex figure will be 360 degrees. So, if the quadrilateral is convex (isn't bent inwards) the sum of the exterior angles will be 360 as well.
The sum of the measures of the interior angles of a convex 22-gon?
3,600°
What is the sum of measures of the interior angles of a convex pentagon?
520 Degrees
Can you find the sum of the measures of the interior angles of a convex 70-gon?
Yes
What is the sum of the measures of the interior angles of a convex 36 gon?
6120 degrees
