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Angle sum for a polygon Draw any quadr...

Angle sum for a polygon
Draw any quadrilateral ABCD.
Mark a point P in its interior.
Join the segments PA, PB, PC and PD
You have 4 triangles now.
How much is the sum of all the angles of the 4 triangles ?
How much is the sum of the angles at P ?
Can you now find the 'angle sum' of the quadrilateral ABCD ?
Can you extend this idea to any polygon ?

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