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Choose given statement is true/false:

The adjacent angles in the parallelogram are supplementary.

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True

False

answer is A.

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Detailed Solution

The above statement is true.
Question Image

Adjacent angles are supplementary if they sum up to

180^{°}

. In a parallelogram ABCD,
AB is parallel to DC

\Rightarrow

∠ B + ∠ C = 180^{°}

(co-interior angles)
Therefore,

∠ B

and

∠ C

are supplementary angles as the sum is equal to

180^{°}

\Rightarrow

∠ B

and

∠ C

are adjacent angles of the parallelogram and the sum is equal to

180^{°}

, hence the given statement is correct.

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