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Q.

Consecutive angles of a parallelogram are ____.


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Detailed Solution

Consecutive angles of a parallelogram are supplementary.
A parallelogram is a two-dimensional shape with two parallel sides that is equal on both sides. Question ImageHere, AD || BC and consider AB as transversal.
So, by the property of interior angles that says the angles on the same side of a transversal are supplementary, we get,
∠A+∠B= 180 ° ∠A+∠D= 180 ° ∠C+∠B= 180 ° ∠D+∠C= 180 ° Thus, the sum of consecutive angles in a parallelogram is 180 ° .
If the sum of 2 angles is 180° , then they are called as supplementary.
Hence, parallelogram's consecutive angles are supplementary.
 
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