Question

What is the measure of angle a +angle B+ angle C+angle D+angle E + angle F in the figure given below. Give reason to your answer

Answer 1

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°

Hope it helps you.

Thank you

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