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Can a Quadrilateral Abcd Be a Parallelogram If ∠D + ∠B = 180°? - CBSE Class 8 - Mathematics

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Question

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

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.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 3: Understanding Quadrilaterals
Ex. 3.30 | Q: 3.1 | Page no. 51

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Solution Can a Quadrilateral Abcd Be a Parallelogram If ∠D + ∠B = 180°? Concept: Kinds of Quadrilaterals - Elements of a Parallelogram.
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