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in Quadrilaterals by (44.3k points)

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

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If we draw one diagonal to quadrilateral we will get two triangles i.e. △ABC and △ACD

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

Sum of angles of quadrilateral ABCD= sum of angles △ABC + sum of angles △ACD

= 180° + 180°

= 360°

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