Question
Mathematics Question on Kinds of Quadrilaterals
Explain how this figure is a trapezium. Which of its two sides are parallel?
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 180∘, 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.