Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, determine CD.

Solution:

Consider ABCD as a quadrilateral

It is given that the opposite angles are equal hence the given quadrilateral is a parallelogram.

Here the opposite side of AB is CD

If AB = 4 cm then CD = 4 cm

Therefore, CD = 4 cm.

✦ Try This: Opposite angles of a quadrilateral PQRS are equal. If PQ = 3 cm, determine RS.

Consider PQRS as a quadrilateral

It is given that the opposite angles are equal

Here the opposite side of PQ is RS

If PQ = 3 cm then RS = 3 cm

Therefore, RS = 3 cm.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 8

NCERT Exemplar Class 9 Maths Exercise 8.2 Problem 14

Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, determine CD.

Summary:

A quadrilateral is a closed shape that is formed by joining four points among which any three points are non-collinear. Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, CD = 4 cm

☛ Related Questions:

• Angles of a quadrilateral are in the ratio 3 : 4 : 4 : 7. Find all the angles of the quadrilateral
• In Fig.8.3, X and Y are respectively the mid-points of the opposite sides AD and BC of a parallelogr . . . .
• In Fig.8.4, AX and CY are respectively the bisectors of the opposite angles A and C of a parallelogr . . . .