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What are exterior angles?
Exterior angles are the angles formed when a side of a polygon is extended, and they are adjacent to the interior angle at that vertex. In a polygon with n sides, there are n exterior angles, one at each vertex. The sum of the exterior angles of any polygon is always 360 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 measures of the interior angles of the regular polygon if each exterior measures 120?
Hint: in a regular polygon interior plus exterior = 180o, always.
Is An interior angle of a triangle and one of its adjacent exterior angles supplementary?
always
What are angles outside the polygon?
Angles outside a polygon, often referred to as exterior angles, are formed when a side of the polygon is extended. These angles are created between the extended side and the adjacent side of the polygon. The sum of the exterior angles of any polygon, regardless of the number of sides, is always 360 degrees. Each exterior angle can be calculated by subtracting the interior angle from 180 degrees.
What is The sum of the exterior angles of a docegon?
I think its this.... Find the interior. Then do 180 - the interior. That is the exterior. * * * * * The correct answer is that the sum of the exterior angles of any polygon is always 360 degrees.
What regular polygon has interior angle 177?
If interior angles are 177o then exterior angles are 3o. Exterior angle times number of sides is always 360 so the polygon has 120 sides.
What is the relationship between the measure of a central angle of a polygon and the measures of an interior and an exterior angle of the polygon?
The interior angle and central angle are supplementary, that is they always add up to 180 degrees, while the exterior angle and the central angle will always be the same.
What is interior angles?
The angles between adjacent sides of a polygon that are interior to the polygon. If the polygon is convex, the interior angles are always less than 180 degrees. If it is concave, at least one interior angle will be greater than 180 degrees.
One exterior angle of a regular polygon measures 40 What is the sum of the polygon's interior angle measures?
The sum of a regular polygon's interior angles is always equal to (n-2) * 180, where n is the number of sides in the polygon. Given that one exterior angle measures 40 degrees, we can find the interior angle by subtracting 40 from 180 degrees (since the exterior and interior angles are supplementary) to get 140 degrees. So, the sum of the interior angles of the regular polygon is 140 * n.
The measure of an interior angle of a regular polygon is 150 degrees Find the number of sides?
AnswerIt is Dodecagon.To find this, you have to first find the exterior angle of the polygon. Since the exterior angle of a polygon is always supplementary to the interior angle, you subtract the measure of the interior angle from 180. 180-150=30. Now You divide 360 by the measure of the exterior angle to get the number of sides of the polygon. 360/30=12. A 12-sided polygon is called a dodecagon
Does the interior and exterior angle of any vertex of a polygon always adds up to 180 degrees?
Yes normally
