# 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 . . . .

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