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Opposite Angles of a Parallelogram Are Equal

In a parallel...

Question

In a parallelogram ABCD, if ∠B = 135°, determine the measure of its other angles.

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Solution

Since ABCD is a parallelogram with .

Opposite angles of a parallelogram are equal.

Therefore,

Also, let

Similarly,

We know that the sum of the angles of a quadrilateral is .

Hence the measure of other angles are , and .

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