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Important Results Related to Parallelograms

In a parallel...

Question

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

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Solution

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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Important Results Related to Parallelograms

Standard IX Mathematics

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