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Question -

In a parallelogram ABCD, ∠D  = 135°, determine the measures of ∠A and ∠B.



Answer -

It is given that ABCD is a parallelogram with  
We know that the opposite angles of the parallelogram are equal.
Therefore,
Also,  and  are adjacent angles, which must be supplementary.
Therefore,
Hence ,   and  .

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