Question:

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

Updated On: Jul 13, 2024
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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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