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Prove that the sum of the angles of a quadrilateral is 360°.

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Prove that the sum of the angles of a quadrilateral is 360°.

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ABCD is a quadrilateral and AC is a diagonal. Now, we get two triangles 

∆ ABC and ∆ ACD. 

As we know that sum of angles of triangle is 180° 

So, sum of two triangles will be 180° × 2 = 360° 

i.e. the sum of the angles of a quadrilateral is 360°

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