Question

find the sum of all vertices angles of five pointer star i. e sum of angle (a+b+c+d+e)​

Answer 1

Answer:

answer is 360 because sum all the side of triangle is 180 and there r two so 180+180=360

Answer 2

180°

This question is based on exterior angles

Each triangles with point A, B, C, D, E has 2 exterior angles.

Now, as we know that sum of exterior angles is 360°, but since those triangles comprises 'two exterior angles' and other.

The sum of all exterior angles is 360°×2

The sum of all angles on every triangles is 180°×5

∠A+∠B+∠C+∠D+∠E is sum of angles, but except all exterior angles.

So subtract 360°×2 from 180°×5

We have 180° which is the answer. Wow!!

I've seen this question on YouTube, but this is my own creative way.

You can find other solution from YouTube channel MindYourDecision.