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A pentagon has 5 sides and 5 angles. The minimum number of sides a polygon can have is 3 because it needs a minimum of 3 sides to be a closed shape or else it will be open. Divide 360° by the size of the exterior angle to find the number of sides. You could solve this problem using the Sum of Interior Angles Formula or the formula for one interior angle of a polygon. The sum of all interior angles of this polygon is equal to 900 degrees, whereas the measure of each interior angle is approximately equal to 128 However, the below figure shows the difference between a regular and irregular polygon of 7 sides. zillow apartments baltimore md Convex polygon – All the interior angles of a polygon are strictly < 180°. 2 Determine the size of the angles and/or side lengths within the polygon. Stay tuned with BYJU’S – The Learning App and also explore more Maths-related videos. Poly- means "many" and -gon means "angle". kaplan asvab practice test Subtract 2 from the number of sides of a polygon and multiply by 180 with this formula. How many sides does a regular polygon have if the measures of each exterior angle equals 12 degrees? The regular polygon whose exterior angle measure is 12 degrees, has 30 sides (360/12, since the exterior angles on any polygon always add up to 360 degrees). In the above image, different sided polygons are given. Let’s assume we were given a polygon with 5 sides, here’s how we would solve for the sum of the interior angles: (5-2) × 180° = 3 × 180° = 540° Let the number of sides be n and use the formula: 1/2n(n-3) = diagonals 1/2n(n-3) = 27 Multiply both sides by 2 and then form a quadratic equation: n2-3n-54 = 0 Solving the above quadratic equation works out as: n = -6 or n = 9 it must be the latter because the sides can't be negative Therefore the polygon has 9 sides. weekly specials at harris teeter The heptagon is sometimes referred to as the septagon, using the Latin numerical prefix “sept” rather than the G. ….

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