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What would the total sum of the interior angles be for a polygon with 20 sides?
Wiki User
∙ 6y ago
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
3240 degrees
Wiki User
∙ 6y ago
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What is the sum of the interior angle measures of a polygon?
(number of sides-2)*180 = total sum of interior angles
How many sides does a regular polygon with interior angles of 177 degrees have?
The formula for the total sum of the interior angles of a regular polygon is s = (n-2)*180, where s is the total sum if the interior angles, and n is the number of sides. Since the number of sides equal the number of angles, the total sum of the interior angles is also equal to n*177 (since there are n angles and each measures 177 degrees). Setting these to equation equal to each other results in: n*177 = (n-2)*180 Distribute: 177n = 180n - 360 Subtract 180n from both sides: -3n = -360 Divide both sides by -3 n = 120 A regular polygon with interior angles of 177 has 120 sides.
Interior angles of a polygon?
Interior angles of n-sided polygon total (2n - 4) right angles or 180n - 360 degrees.
Interior angles of polygon?
Interior angles of n-sided polygon total (2n - 4) right angles or 180n - 360 degrees.
How do you work out the amount of sides o a exterior angle that is 10?
To work out the number of sides, this polygon has to be a regular polygon in which all the interior angles are the same A regular polygon has exterior angles of 10o, therefore it must have interior angles of 180o - 10o = 170o Total interior angles = (Number of sides - 2)x180o Therefore each interior angle = [(Number of sides - 2)x180o]/Number of sides n = number of sides 170o = [(n-2)x180o]/n 170no = 180no-360o 360o = 10no n = 360o/10o n = 36
What is the rule of the interior angles of a polygon?
(number of sides - 2)*180 = total sum of interior angles
What is the sum of the interior angle measures of a polygon?
(number of sides-2)*180 = total sum of interior angles
What is the formula for the total angles of a polygon?
The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees.
What is the total interior angle sum of a polygon?
(number of sides -2)*180 = sum of interior angles
How will you get the sum of the angles of a regular polygon?
(number of sides-2)*180 = total sum of interior angles
Angles of polygon?
(number of sides-2)*180 = total sum of interior angles The total sum of exterior angles for any polygon add up to 360 degrees
What is the sum of all the angles of a polygon?
(number of sides-2)*180+360 = total sum of interior and exterior angles of any polygon.
Regular polygon with 174 degrees interior?
Your polygon has 60 sides. Total interior angles 116 x 90 = 10440 degrees. This works because interior angles of any n-sided polygon total (2n - 4 right angles or 180n - 360 degrees
How does the Number of sides of a polygon affect the total of internal angles?
The addition of an extra side increases the total of the internal angles by 180° The sum of the internal angles of a polygon = (number of sides - 2) × 180°
What do the interior angles of a polygon equal?
The total for the interior angles depends on the number of sides. The formula for the total of interior angles of an n-sided polygon is sum =180(n-2). This is 180 degrees for triangles, 360 degrees for quadrilaterals, and 540 degrees for pentagons.
Is a triangle a polygram?
A triangle is a polygon that has three sides whose interior angles total 180 degrees.
What is the total degrees for a polygon?
Exterior angles add up to 360 degrees Interior angles are (n-2)*180 whereas 'n' is the number of sides of the polygon
