Which condition is sufficient to show that quadrilateral DEFG is a parallelogram?

Mathematics

1 answer:

Whitepunk [10]3 years ago

4 0

Answer:

Option D

∠GDE is supplementary to ∠DEF and also supplementary to ∠FGD

Step-by-step explanation:

To use the supplementary property to identify a parallelogram. The condition must be that that the same-side interior angles (consecutive angles) are supplementary.

Thus for parallelogram DEFG

D --------------------E

/ /

G---------------------F

Thus, we have it that the condition that is most sufficient to show that quadrilateral DEFG is a parallelogram is

∠GDE is supplementary to both ∠DEF and ∠FGD

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