1.

In A4C drtind the aittiesiu12) In the figure, prove that LA + LB + LC + LD + /E t LF-360s.邙.

Answer»

Actually in a equlateral triangle all the sides and angles are equal. One side of an equlateral is 60 degree so when 6 sides are are multiplied by 60 we will get 360 degree . This figure is a compination of 2 triangles because of angle sum property one triangle is equal to 180 degree. So 2 triangle is equals to 360 degrees.

In △ACE, By angle Sum property of triangle∠A+∠C+∠E=180° ...(1)Similarly, in △BDF∠B+∠D+∠F=180° ...(2)Adding (1) and (2), we get∠A+∠B+∠C+∠D+∠E+∠F=360°



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