Question

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

Answer 1

Answer:

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Answer 2

Given : In a parallelogram ABCD, if ∠B = 135°.

Since, opposite angles of a parallelogram are equal. Then  

∠B = ∠D  = 135°

Since, adjacent angles of a parallelogram are supplementary. Then  

∠C + ∠D = 180°

∠C = 180° - 135°  

∠C  = 45°

Since, opposite angles of a parallelogram are equal. Then  

∠C = ∠A = 45°

Hence ,the measures of its other angles are ∠C = ∠A = 45° and ∠B = ∠D  = 135°.

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