NCERT Class 8 Mathematics Solutions: Chapter 3 –Understanding Quadrilaterals Exercise 3.3 Part 3

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

(i)

(ii) cm, and ?

(iii)

(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.

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.