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How many sides does a polygon have if the sum of its interior and exterior angles is 1000 straight angles?
Wiki User
∙ 13y ago
The sum of the interior and exterior angles at the same vertex is always 180 degrees or 1 straight angle. So, if there are 1000 st angles, then there must be 1000 vertices and so 1000 sides.
Wiki User
∙ 13y ago
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What do interior and exterior angles of a polygon add up to?
The sum of the interior angles is found by: (number of sides-2)*180 degrees Exterior angles add up to 360 degrees Angles on a straight line add up to 180 degrees
Are Exterior and interior angles equal to 360?
No because an exterior angle and an interior angle of a polygon add up to 180 degrees but exterior angles around a polygon add up to 360 degrees
How do you calculate exterior angle of a polygon?
The exterior angles of any polygon add up to 360 degees so if it's a regular polygon each exterior angle is 360/number of sides. Or 180 -interior angle = exterior angle because angles on a straight line add up to 180 degrees.
What Polygon with congruent exterior and interior angles?
A rectangle (or square).
What are the interior and exterior angles of a regular polygon?
If the polygon has n sides, each exterior angle is 360/n degrees.The interior angle is 180 less exterior angle.
What is an exterior and interior angles?
The exterior and interior angles of each vertex of a polygon add up to 180 degrees.
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
If the sum of the interior angles of a regular polygon is 2880 degrees how many sides does this polygon have?
18 Angles on a straight line = 180 degrees interior angles 2880 + exterior angles 360 = 3240 degrees 3240 divided by 180 = 18 sides Note that the exterior sum of angles of any polygon is always 360 degrees.
Which regular polygon's interior angles is three times that of its exterior angles?
octagon interior=135 exterior=45
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 do interior and exterior angles of a polygon add up to?
The sum of the interior angles is found by: (number of sides-2)*180 degrees Exterior angles add up to 360 degrees Angles on a straight line add up to 180 degrees
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.
What is the sum of the measures of the exterior angles of a polygon?
If you multiply 360 by the number of angles in the polygon and then subtract the sum of all the interior angles you will end up with the sum of all the exterior angles of the polygon.
Are Exterior and interior angles equal to 360?
No because an exterior angle and an interior angle of a polygon add up to 180 degrees but exterior angles around a polygon add up to 360 degrees
Which regular polygon's interior angles are half that of its exterior angles?
An equilateral triangle.
What are the two interior angles called that are not adjacent to an exterior angle?
In a polygon there are no such angles.
How do you calculate exterior angle of a polygon?
The exterior angles of any polygon add up to 360 degees so if it's a regular polygon each exterior angle is 360/number of sides. Or 180 -interior angle = exterior angle because angles on a straight line add up to 180 degrees.
