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

Get top class preparation for CBSE/Class-8 right from your home: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-8.

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.

Image:

(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.

Image:

(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.

Image:

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.

Image:

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.

Let two adjacent angles be and .

Since the adjacent angles in a parallelogram are supplementary.

Image: