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Prove that it in a quadrilateral each pair of opposite angles are equal them it is a paralleogram
Asked by chandininayak86 | 15 Dec, 2023, 07:36: AM

A = C =

B = D = β

sum of all four abgles = 2 (α + β ) = 360

Hence (α + β ) = 180

If lines AD and BC are intersected by line AB and sum of interior angles A and B is 180  ( (α + β ) = 180 ) ,

Similarly , If lines AB and CD are intersected by line AD and sum of interior angles A and D is 180  ( (α + β ) = 180 ) ,

then AB || CD .

Opposite sides are parallel to each other in quadrilateral ABCD if opposite angles are equal .

Hence ABCD is parallelogram .

Answered by Thiyagarajan K | 15 Dec, 2023, 09:05: AM

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