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Mathematics

Parallelogram properties

In this Class 9 Mathematics topic from the chapter Quadrilaterals, students explore the defining properties of a parallelogram and learn how to apply them in geometric reasoning. They study why opposite sides are parallel and equal, opposite angles are equal, adjacent angles are supplementary, and the diagonals bisect each other. The topic also develops proof-writing skills and helps students identify missing angles, lengths, and relationships in diagrams using these properties.

Topic overview

Concept revision

One angle of a parallelogram is 82°. What is its adjacent angle?

A fundamental property of a parallelogram is that each pair of adjacent interior angles is supplementary; their sum is 180°. Therefore, the required angle is 180° − 82° = 98°.

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