Question

find the sum of the angles A,B,C,D, and E​

Answer 1

Step-by-step explanation:

Proof for any star pentagon

Thus the top triangle has angles a, b + d, and c + e: Since the sum of the angles in a triangle is 180 degrees, and this triangle has the sum of all the corner angles, we are done! There are many other ways to prove the result too

Answer 2

In ∆ ABC

by angle sum pro

A+B+C= 180°_________________(1)

Similarly,

In ∆ EFD

E+F+D=180°_________(2)

In ∆ ABC and ∆EFD

All Angles are equal

so,

A=60, B=60°i.e all angle are of 60°

so,

from (1) &(2)

A+B+C+D+E= (180+180)-60

=360-60

=300°

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