Question

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

Answer 1

Answer:

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 180º, then the given two lines will be parallel to each other. As quadrilateral KLMN has a pair of parallel lines, therefore, it is a trapezium.

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Answer 2

To show:-

• The given figure is trapezium.

Solution:-

We know that,

• Trapezium is a closed figure or we called it quadrilateral which consists of four sides and four angles. In this pair of one opposite sides are parallel and one pair of opposite sides are not parallel. Sum of two angles forms on same side of transversal is 180°.

The given figure is trapezium beacuse

• NM is parallel to KL
• This is closed figure.
• One pair of opposite sides are not parallel.
• It have four sides.
• And It also have four angles.
• ∠M + ∠L = 180° [ 100° + 80° = 180°]

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