Explain how this figure is a trapezium. Which of its two sides are parallel? (Fig 3.32)


We know that if a transversal line intersects two given lines in such a way that the sum of the measures of the angles on the same side of transversal is 180o, then the given two lines are parallel to each other.

Hence,


NML + MLK = 180°


Hence, NM||LK


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


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