RS Aggarwal Solutions For Class 8 Maths Chapter 15 Quadrilaterals are provided here. You can download the pdf of RS Aggarwal Solutions for Class 8 Maths Chapter 15 Quadrilaterals from the given links. Class 8 is an important phase of a studentâ€™s life. It is critical to thoroughly understand the concepts taught in Class 8 as they are continued in Class 9 and 10, and also create a foundation. Here we will learn about the quadrilaterals, types of quadrilaterals and properties of quadrilaterals.

RS Aggarwal Solutions helps students to get a good score in the examinations, while also providing extensive knowledge about the subject, as Class 8 is a critical stage in their academic career. Therefore, we at BYJUâ€™S provide answers to all questions uniquely and briefly.

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### Access Answers to Maths RS Aggarwal Solutions for Class 8 Chapter 15 – Quadrilaterals

## Exercise 15 Page

**1. Fill in the blanks:**

**A quadrilateral has â€¦â€¦. Sides****A quadrilateral has â€¦â€¦ angles.****A quadrilateral has â€¦â€¦. Vertices, no three of which areâ€¦â€¦****A quadrilateral has â€¦â€¦.. diagonals.****A diagonal of a quadrilateral is a line segment that joins two â€¦â€¦. Vertices of the quadrilateral.****The sum of the angles of a quadrilateral is â€¦â€¦â€¦**

**Solution:**

- Four
**Solution:****Solution:****Solution:****Solution:****Solution:**

**Explanation: **

AB, BC, CD, and DA are the four sides of quadrilateral.

Four

**Explanation:**

** **

** **

âˆ A, âˆ B, âˆ C and âˆ D are the four angles of quadrilateral.

Four, collinear

**Explanation:**

A, B, C and D are four vertices of quadrilateral. Which has no three of which are collinear, if it is collinear it will becomes line segment

Two

**Explanation:**

AC and BD are the two diagonals of quadrilateral.

Opposite

**Explanation:**

Diagonals connect opposite vertices like A to c and B to D.

360^{o}

**Explanation:**

If we draw one diagonal to quadrilateral we will get two triangles i.e. â–³ABC and â–³ACD

But we know that sum of angles of triangle is 180^{o}

Sum of angles of quadrilateral ABCD= â–³ABC + â–³ACD

= 180^{o}+180^{o}

= 360^{o}

**2. In the adjoining figure, ABCD is a quadrilateral.**

**How many pairs of adjacent sides are there? Name them.****How many pairs of opposite sides are there? Name them.****How many pairs of adjacent angles are there? Name them.****How many pairs of opposite angles are there? Name them.****How many diagonals are there? Name them.**

**Solution:**

- Adjacent sides is nothing but two sides of a quadrilateral having same end
- Two sides of a quadrilateral have same end point are called opposite sides.
- When two angles of quadrilateral shares the common arm it is called ad adjacent angles.
- When angles of a quadrilateral are not adjacent ten it is called as opposite angles.
- A diagonal is a line segment which joins two opposite vertices.

i.e. there are four pairs of adjacent sides. They are

(AB, BC), (BC, CD), (CD, DA) and (DA, AB)

There are two opposite sides. They are

(AB, DC), (AD, BC)

There are four adjacent angles. They are

(âˆ A, âˆ B), (âˆ B, âˆ C), (âˆ C, âˆ D) and (âˆ D, âˆ A)

There are two pairs of opposite angles. They are,

(âˆ A, âˆ C), (âˆ B, âˆ D)

Here there are 2 diagonals are there. They are

(AC, BD)

**3. Prove that the sum of the angles of a quadrilateral is 360 ^{o}**

**Solution: **

If we draw one diagonal to quadrilateral we will get two triangles i.e. â–³ABC and â–³ACD

But we know that sum of angles of triangle is 180^{o}

Sum of angles of quadrilateral ABCD= sum of angles â–³ABC +sum of angles â–³ACD

= 180^{o}+180^{o}

= 360^{o}

**4. The three angles of a quadrilateral are 76 ^{o}, 54^{o} and 108^{o}. Find the measure of the fourth angle. **

**Solution:**

We know that there are four angles in quadrilateral.

Also know that sum of the angles of a quadrilateral is 360^{o}

Let unknown angle be x

Sum of angles of quadrilateral=76^{o}+ 54^{o} +108^{o}+x

360^{o}=238^{o}+x

X=122^{o}

Therefore the fourth angle is 122^{o}

## RS Aggarwal Solutions for Class 8 Maths Chapter 15- Quadrilaterals

Chapter 15, Quadrilaterals, contains one Exercise. RS Aggarwal Solutions given here contains the answers to all the questions present in this exercise. Let us have a look at some of the concepts that are being discussed in this chapter.

- Definition of quadrilateral
- About quadrilateral vertices, sides and angles
- Definition of adjacent sides of a quadrilateral
- Definition of opposite sides of a quadrilateral
- Definition of adjacent angles of a quadrilateral
- Definition of opposite angles of a quadrilateral
- Angle sum property of a quadrilateral

### Chapter Brief of RS Aggarwal Solutions for Class 8 Maths Chapter 15 – Quadrilaterals

The RS Aggarwal Solutions for Class 8 Maths Chapter 15 â€“ Quadrilaterals deals with the definition of quadrilaterals, sides, vertices and angles of quadrilaterals. It also covers some important definitions like adjacent sides of a quadrilateral, opposite sides of a quadrilateral, adjacent angles of a quadrilateral, opposite angles of a quadrilateral and angle sum property of a quadrilateral.