Question

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

Answer 1

Here,
$\angle M+\angle L={100}^{\circ }+{80}^{\circ }={180}^{\circ }$ [Sum of interior opposite angles is ${180}^{\circ }$ ]
$\therefore$ NM and KL are parallel.
Hence, KLMN is a trapezium.

Here, $\angle M+\angle L={100}^{\circ }+{80}^{\circ }={180}^{\circ }$
.

A transverse line is intersecting two lines such that sum of angles on same side of transversal line are supplementary.

And hence, lines KL and MN are parallel to each other.

Quadrilateral KLMN has a pair of parallel lines so it is a trapezium.