Question

A,B,C,D,E are the 5 vertices of star shaped figure .find the value of the angelA+ angelB + Angel C+ angel D + angel E.

Answer 1

ABCDE is a pentagon ( 5 sided figure )

∠A + ∠B + C + ∠D + ∠E = ?

We know that sum of interior ∠s of a polygon =  ( n - 2 ) × 180 °

                                                             [ n is the number of sides ]

                                                               ==> ( 5 - 2 ) × 180°

                                                               ==> 3 × 180°

                                                               ==> 540°

Hence :

∠A + ∠B + C + ∠D + ∠E = 540°

Hope it helps ya :)

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