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Can a quadrilateral ABCD be a parallelogram if ∠D + ∠B = 180°?

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Question

Can a quadrilateral ABCD be a parallelogram if ∠D + ∠B = 180°?

Short Answer
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Solution

For ∠D + ∠B = 180°, quadrilateral ABCD may or may not be a parallelogram. Along with this condition, the following conditions should also be fulfilled.

The sum of the measures of adjacent angles should be 180º.

Opposite angles should also be of same measures.

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Chapter 3: Understanding Quadrilaterals - EXERCISE 3.3 [Page 31]

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NCERT Mathematics [English] Class 8
Chapter 3 Understanding Quadrilaterals
EXERCISE 3.3 | Q 3. (i) | Page 31

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