Q. 214.1( 10 Votes )

# In a convex hexagon, prove that the sum of all interior angle is equal to twice the sum of its exterior angles formed by producing the sides in the same order.

Answer :

The sum of interior angles of a polygon = (n – 2) × 180°

The sum of interior angles of a hexagon = (6 – 2) × 180° = 4 × 180° = 720°

The Sum of exterior angle of a plygon is 360°

Therefoe sum of interior angles of a hexagon = twice the sum of interior angles.

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