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

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**Question: 3** Can a quadrilateral ABCD be a parallelogram, if:

(i)

(ii) cm, and ?

(iii)

**Answer**:

(i) Yes,

Quadrilateral ABCD be a parallelogram if ∠ D + ∠ B = 180° but it should also fulfill some conditions such as:

- Sum of the adjacent angles should be 180°.
- Opposite angles must be equal.

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(ii) No

In this case because one pair of opposite sides is equal and another pair of opposite sides are unequal. So, it is not a parallelogram.

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(iv) No

because, opposite angles are equal in parallelogram and here opposite angles are not equal in quadrilateral ABCD. Therefore it is not a parallelogram.

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**Question: 4** Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measures.

**Answer**:

ABCD is a quadrilateral in which angles

Therefore, it could be a kite.

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**Question: 5** The measure of two adjacent angles of a parallelogram are in the ratio 3: 2. Find the measure of each of the angles of the parallelogram.

**Answer**:

Let two adjacent angles be and .

Since the adjacent angles in a parallelogram are supplementary.

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One angle =

And another angle