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A polygon is a closed figure in the plane. It has an inside and an outside.
The angles on the inside are the interior angles. An exterior angle is the angle between any side of the polygon and a line extended from the next side.
Here is an example to help.
If you draw an triangle, the angles inside it are interior angles. Then if you extend any side, the angle between that line and the next side is the exterior angle.
The sum of the exteriors is always 360. For a polygon with n sides, the sum of the interior angles is 180 (n-2) degrees.
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If the sum of the interior angles of a polygon equals the sum of the exterior angles what is the name of the polygon?
A Regular Polygon
Which regular polygon's interior angles is three times that of its exterior angles?
octagon interior=135 exterior=45
What type of regular polygon has equal interior and exterior angles?
A quadrilateral.
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.
What is the name of the regular polygon whose interior angles are twice its exterior angles?
hexagon
If the sum of the interior angles of a polygon equals the sum of the exterior angles what is the name of the polygon?
A Regular Polygon
Which regular polygon's interior angles is three times that of its exterior angles?
octagon interior=135 exterior=45
Which regular polygon's interior angles are half that of its exterior angles?
An equilateral triangle.
What type of regular polygon has equal interior and exterior angles?
A quadrilateral.
A regular polygon with interior and exterior angles that equal?
Square or rectangle
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.
Each interior angle if a regular polygon measurses 172 degrees how many sides does the polygon have?
The easiest way to solve this is to use the exterior angles of the polygon. The sum of an exterior angle and interior angle is 180o. Also the sum of all the exterior angles of a polygon is 360o. As the polygon is regular, all the interior angles are the same and all the exterior angles are the same. So, for an interior angle of 172o the exterior angle is 180-172 = 8o. The sum of all the exterior angles is 360o so how many 8o make up 360o? 360/8=45. Thus the polygon with interior angles of 172o has 45 sides.
How many sides of a regular polygon with interior angles of 178?
Interior angles 178 so exterior angles 2. Number of sides of any regular polygon = 360/exterior angle You polygon has 180 sides. Bet you're glad you didn't have to sketch it!
A regular polygon an exterior angle of 30 What is the size of the interior angle?
Exterior angles are supplementary with interior angles, so 180-30=150
What is the sum of the measures of the interior angles of a regular of a regular polygon if each exterior angle measures 120?
If exterior angles are 120 then interior angles must be 60 so you have an equilateral triangle
What is the name of the regular polygon whose interior angles are twice its exterior angles?
hexagon
How many sides does a regular polygon have if its exterior angles are equal to its interior angles?
4 such as a square
