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Prove the sum of four angles in quadrilateral is 360 degree |
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Answer» this is your Answer hope it helps you Step-by-step explanation:Consider a quad quadrilateral ABCD.Join QS.To\quad prove:∠A+∠B+∠C+∠D=360ºProof:Consider TRIANGLE ABD,we have,∠A+∠ABD+∠ADB=180º⟹(1)[Using Angle SUM PROPERTY of Triangle]Similarly,triangle BCD,we have,∠DBC+∠C+∠BDC=180º⟹(2)[Using Angle sum property of Triangle]On ADDING (1) and (2),we get∠A+∠ABD+∠ADB+∠DBC+∠C+∠BDC=180º+180º∠A+∠B+∠C+∠D=360º |
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