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bagirrra123 [75]
3 years ago
15

If every pair of consecutive angles of a quadrilateral are supplementary, then the quadrilateral must be a parallelogram.

Mathematics
2 answers:
Luda [366]3 years ago
7 0
Answer: true.

If a quadrilateral is a parallelogram, it has two sets of opposite sides that are congruent. If you follow the picture attacheed, you see that AD equals BC and AB equals DC.
There is a theorem that says that If a quadrilateral is a parallelogram, it has<span> consecutive angles that are supplementary. Suplementary means that, those 2 angles together, form 180º.</span>

Mrrafil [7]3 years ago
3 0
I believe this statement is true. 
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