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What does the Polygon Exterior Angle Sum Theorem say?
Theorem 6-1-2; Polygon Exterior Angle Sum Theorem:The sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360 degrees.
What is the sum of the interior angle measures of a 25 - sided polygon?
The method of finding the sum of the interior angles of a polygon is by multiplying the (number of sides)-2 by 180, so the sum of the interior angle measures in a 25-sided polygon would be 23*180, or 4140 degrees.
What is the sum of the measures of the interior angles of a regular polygon if each exerior angle measures 72 degrees?
There are 5 interior angles and each one measures 108 degrees (180-72). Since the sum of exterior angles of any polygon is 360⁰, then that polygon would have 5 angles (360/72). So the sum of interior angle measures is 540⁰.
What is the formula to find the sum of the measures of the exterior angles one at each vertex of a polygon?
If it's a regular polygon: 360/number of sides = each exterior angle
If the sum of the interior angle measures of a polygon is 1440 degrees how many sides does the polygon have?
The answer is 11 sides If a polygon with 10 sides the sum of the interior angles are 1440° So 1440°+180°= 1620°
How can you find the sum of the interior Angle measures and the sum of the exterior angle measures of a polygon?
To find the sum of the interior angle measures of a polygon with ( n ) sides, use the formula ( (n - 2) \times 180^\circ ). For the sum of the exterior angle measures of any polygon, regardless of the number of sides, it is always ( 360^\circ ). Thus, you can easily calculate the interior angles based on the number of sides while remembering that the exterior angles sum to a constant value.
One exterior angle of a regular polygon measures 36 What is the sum of the polygon's interior angle measures?
1440 degrees
One exterior angle of a regular polygon measures 36. What is the sum of the polygon's interior angle measures?
1440 degrees
One exterior angle of a regular polygon measures 30 degrees what is the sum of the polygon's interior angle measures?
1800 degrees
What is the sum of the measures of the interior angles of a regular polygon if each angle measures 90 degrees?
If each angle measures 90 degrees the polygon is a square and so its angles sum to 360 degrees.
What is the sum of the angle measures in a polygon that has 20 sides?
3600
What does the Polygon Exterior Angle Sum Theorem say?
Theorem 6-1-2; Polygon Exterior Angle Sum Theorem:The sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360 degrees.
If the sum of interior angle measures of a polygon is 1080 how many sides does the polygon have?
8
If the sum of interior angle measures of a polygon is 720 how many sides does the polygon have?
6
If the sum of interior angle measures of a polygon is 900 how many sides does the polygon have?
7
What is the sum of the measures of the interior angle in polygon?
It depends on what type of polygon it is and how many angles it has.
If the sum of the interior angle measures of a polygon is 2340 how many sides does the polygon have?
15
