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Earn +20 ptsQ: How many degrees is a 25 sided polygon?
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What is the angle sum for 25 sided polygon?
Exterior angles add up to 360 degrees Interior angles add up to 4140 degrees
Find the measure of an interior angle of a regular polygon with 25 sides?
Method 1: Interior angles of a regular n-sided polygon total (2n - 4) right angles or 180n - 360 degrees. Each angle is therefore ((180 x 25) - 360)/25 ie 165.6 degrees. Method 2: EXterior angles of regular n-sided polygon = 360/n degrees, in this case 360/25 ie 14.4 degrees. Interior angle = 180 - exterior ie 180 - 14.4 = 165.6 degrees.
How many parallel sides in a 25 sided polygon?
None. Since the number of sides is odd, there can be no parallel sides.
Why the size of the angle at the centre of a regular polygon cannot be 25 degrees?
Because 25 does not divide 360.
How many diagonals does a regular polygon have when one of its interior angles measures 165.6 degrees?
If: 180 -165.6 = 14.4 degrees for each exterior angle Then: 360/14.4 = 25 sides So: 0.5*(25^2 -3*25) = 275 diagonals
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