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Question
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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[Hint: Difference of two parallel sides gives an equilateral triangle.]
