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Question

Mathematics Question on Kinds of Quadrilaterals

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

Answer

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 180180\degree, then the given two lines will be parallel to each other.
Here, NML+MLK=180°∠ NML + ∠ MLK = 180°
Hence, NMLKNM||LK
As quadrilateral KLMNKLMN has a pair of parallel lines,
therefore, it is a trapezium.