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Fill in the blanks. For a convex polygon of n sides, we have: i. Sum of all exterior angles = ...... . ii. Sum of all interior angles = ...... . iii. Number of diagonals = ...... . |
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Answer» i. 4 right angles = 360° Convex Polygon is also a polygon and sum of all exterior angles of any polygon is 360° ii. (2n - 4) right angles Convex Polygon is also a polygon and sum of all interior angles of any polygon is (n - 2)× 180° Here, n represents the no of sides of polygon. iii. \(\frac{1}{2}n(n\,-\,3)\) No. of diagonals = \(\frac{n(n\,-\,3)}{2}\) [n is No. of Sides] |
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