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CBSE Class 9 Answered

Prove that the sum of the interior angles of a quadrilateral is equal to 360o.
Asked by Topperlearning User | 16 Aug, 2017, 02:22: PM
answered-by-expert Expert Answer
In quadrilateral ABCD, join BD.
A + 1 +2 = 180o
3 + C +4 = 180o
Adding the above,
A + 1 +2 +3 + C +4 = 360o
A +C + (1 +3) + (2 +4) = 360o
A +C +B +D = 360o
A +B +C +D = 360o
Hence the sum of the interior angles of a quadrilateral is equal to 360o.
Answered by | 16 Aug, 2017, 04:22: PM
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