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

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Question

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

Short Answer

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 51]

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NCERT Mathematics [English] Class 8
Chapter 3 Understanding Quadrilaterals
Exercise 3.3 | Q 3.1 | Page 51

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