Question

Draw a polygon on the floor, using a piece of chalk. 
(In the figure, a pentagon ABCDE is shown) (Fig 3.8).



Fig 3.8

We want to know the total measure of angles, i.e, 
m∠1 + m∠2 + m∠3 + m∠4 + m∠5. Start at A. Walk along . On reaching B, you need to turn through an angle of m∠1, to walk along . When you reach at C, you need to turn through an angle of m∠2 to walk along . You continue to move in this manner, until you return to side AB. You would have in fact made one complete turn.

Therefore, m∠1 + m∠2 + m∠3 + m∠4 + m∠5 = 360°

This is true whatever be the number of sides of the polygon.

Therefore, the sum of the measures of the external angles of any polygon is 360°. 


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Answer 1

Answer:

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