Explain how this figure is a trapezium. Which of its two sides are parallel?
Solution and Explanation
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 \(180\degree\), 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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