Question

can a quadrilateral ABCD be a paralllelogram if angle D +angle B=180 degree? give reasons for your answer

Answer 1

angle B + angle D = 180 it's a not normal parallelogram. Normal parallelogram have equal opposite angles.

It's will be happen when the parallelogram is cyclic parallelogram. Parallelogram is one type of quadrilateral. A cyclic quadrilateral have sum of 180 degree of opposite angles.

In short it is possible.

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