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Explain How this Figure is a Trapezium. Which of Its Two Sides Are Parallel? - Mathematics

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प्रश्न

Explain how this figure is a trapezium. Which of its two sides are parallel?

संक्षेप में उत्तर

उत्तर

If a transversal line is intersecting two given lines such that the sum of the measures of the angles on the same side of transversal is 180º, then the given two lines will be parallel to each other.

Here, ∠NML + ∠MLK = 180°

Hence,NM || LK

As quadrilateral KLMN has a pair of parallel lines, therefore, it is a trapezium.

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अध्याय 3: Understanding Quadrilaterals - Exercise 3.3 [पृष्ठ ५२]

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एनसीईआरटी Mathematics [English] Class 8
अध्याय 3 Understanding Quadrilaterals
Exercise 3.3 | Q 10 | पृष्ठ ५२

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