# RD Sharma Chapter 14 Class 9 Maths Exercise 14.1 Solutions

RD Sharma Chapter 14 Class 9 Maths Exercise 14.1 Solutions, we will discuss the Quadrilaterals’ angles, angle sum property of a Quadrilateral, Quadrilaterals consecutive or adjacent sides, etc. Learners will get the complete information about each topic and subtopic related to this exercise. A stepwise solution is provided, which helps students to solve the problems quickly in the exam.

We have attached the RD Sharma Chapter 14 Class 9 Maths Exercise 14.1 Solutions PDF that helps to understand the variety of questions asked in the exam related to the Quadrilaterals consecutive or adjacent sides, Opposite sides & opposite angles, etc. This PDF is prepared by our subject experts to help the learners to get the important questions from the RD Sharma, Previous Year’s Questions, and CBSE Text Book of Class 9.

## Download RD Sharma Chapter 14 Class 9 Maths Exercise 14.1 Solutions PDF

Solutions for Class 9 Maths Chapter 14 Quadrilaterals Exercise 14.1

## Important Definitions RD Sharma Chapter 14 Class 9 Maths Exercise 14.1 Solutions

RD Sharma Chapter 14 Class 9 Maths Exercise 14.1 Solutions is based on the following topics and subtopics. We have given the description with the example for each point mentioned below-

3. Opposite sides of a Quadrilateral
6. Angle sum property of a Quadrilaterals

A quadrilateral is a figure that has four (4) sides or edges and also has four vertices or corners. Quadrilaterals will typically be of regular shapes with four sides like square, rectangle, trapezoid, and kite.

A quadrilateral can be described as a closed, two-dimensional pattern that has four straight edges. The polygon has four corners or vertices. We can obtain the shape of quadrilaterals in different things around us, such as a chessboard, a kite, a deck of cards, a signboard, a tub of popcorn, and an arrow.

There are four vertices in a quadrilateral, but every vertex is created by connecting the endpoints of two edges. The two edges of the quadrilateral are known as the adjacent sides or consecutive sides of a quadrilateral.

### Opposite Sides of a Quadrilateral

Two sides or edges of a quadrilateral are known as opposite sides or edges if they do not have a constant endpoint.

Two angles of a quadrilateral having a constant arm are known as its adjacent angles.

Two angles of a quadrilateral, which are not consecutive/ adjacent angles, are called the opposite angles.

### Angle Sum Property of a Quadrilaterals

A quadrilateral is a polygon with four (4) vertices, four (4) sides, four (4) angles, and all the angles are 360°. When we draw the diagonals to the quadrilateral, it makes two triangles. Both particular triangles have an angle total of 180°. Therefore, the cumulative angle sum of the quadrilateral is 360°. Angle sum is one of the attributes of quadrilaterals.

## Frequently Asked Questions (FAQs) of RD Sharma Chapter 14 Class 9 Maths Exercise 14.1 Solutions

Ques 1- What is the sum of four angles of the quadrilateral?

Ans- The sum of four angles of the quadrilateral is 360°.

Ques 2- What is the formula of angle sum property?

Ans- The formula for the angle sum property is-

S = ( n − 2) × 180°

“n” signifies the number of sides or edges of the quadrilateral.