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

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Answer in Brief

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

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Solution

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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Chapter 3: Understanding Quadrilaterals - Exercise 3.3 [Page 52]

APPEARS IN

NCERT Mathematics Class 8
Chapter 3 Understanding Quadrilaterals
Exercise 3.3 | Q 10 | Page 52

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