# NCERT Class 8 Mathematics Solutions: Chapter 3 – Understanding Quadrilaterals Exercise 3.3 Part 6 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question: 10** Explain how this figure is a trapezium. Which is its two sides are parallel?

Image:

**Answer**:

Here, [Sum of interior opposite angles is ]

Hence, KLMN is a trapezium.

**Question: 11** Find in figure if AB || DC?

Image

**Answer**:

Here,

Hence, the measure of .

**Question: 12** Find the measure of ∠ P and ∠ S if SP || RQ in Figure. (If you find , is there more than one method to find ?)

Image

**Answer**:

Here,

Also,

Yes, one more method to find .

PQRS is a quadrilateral. Sum of measures of all angles is 360°.

So, we know the measurement of ∠ Q, ∠ R and ∠ S.

[Angle sum property of quadrilateral]