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CBSE Class 9 Answered

In a parallelogram ABCD, prove that the sum of any two consecutive angles is 180o.
Asked by Topperlearning User | 09 Dec, 2013, 01:40: AM
answered-by-expert Expert Answer

ABCD is a parallelogram, therefore AD||BC
Now, AD||BC and transversal AB intersects them
A + B = 180o               (sum of interior angles on the same side of transversal)
Similarly you can prove that
B + C = 180o, C + D = 180o and D + A = 180o 
Answered by | 09 Dec, 2013, 03:40: AM

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