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The sum of the interior angles of any n-sided polygon is (2n - 4) right angles.

Your example has n = 26 so total is (52 - 4) x 90 degrees, ie 48 x 90 which is4320 degrees.

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12y ago
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Wiki User

12y ago

Exterior angles add up to 360 degrees

Interior angles add up to 4320 degrees

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Emma Ulloa

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2y ago

what is the measure of each interior angle of a 26-gon

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Q: What is the sum of the angle measures in a 26 gon?
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sum of the measures of all the interior angles of a convex 26-gon?

hi


What is the sum of the interior angle in an 15-gon?

Sum of internal angles = (2n - 4)right angles, where n is the number of side and a right angle is 90 degrees. So we have here (30 - 4) x 90 degrees which is equal to 26 x 90 = 2340 degrees


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What is the measure if each interior angle of a regular polygon with 15 sides?

Two ways to calculate the required angle. 1) Use the formula S = 2n - 4 right angles S is the sum of the interior angles of a polygon, n is the number of sides. Then, S = (2 x 15) - 4 = 26 right angles = 26 x 90 = 2340° So, each interior angle of a regular 15-sided polygon measures 2340/15 = 156° 2) Calculate the exterior angle and subtract from 180° to obtain the interior angle. Sum of exterior angles = 360° Each exterior angle measures, 360/15 = 24° Each interior angle measures, 180 - 24 = 156°


How many sides would a polygon have if the sum of the interior angle is 4320?

It will have 26 sides


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What is the sum of the measures of the exterior angles one at each vertex of a polygon with 26 sides?

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