Angle Sum Property of a Quadrilateral
Prove that the sum of the angles of a
quadrilateral is 360°. PROOF Let ABCD be a quadrilateral. Join AC.
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Answer:
☆Join AC.
☆We know that the sum of the angles of a triangle is 180°.
☆∠A + ∠B + ∠C + ∠D = 360° [using (i) and (ii)].
♧Hence, the sum of all the four angles of a quadrilateral is 360°.♧
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