RD Sharma Solutions Class 8 Chapter 17 – Understanding Shapes III

Understanding shapes is a key part of learning geometry in Class 8 Mathematics. In RD Sharma Class 8 Chapter 17 – Understanding Shapes III (Special Types of Quadrilaterals), students explore the unique properties of special quadrilaterals such as parallelograms, rhombuses, rectangles, squares, and trapeziums. These shapes are a part of our daily lives, and learning about them helps build a strong foundation in geometry. The concepts covered in this chapter are very useful for higher classes and various competitive exams in the future.

This chapter is designed according to the CBSE Syllabus for Class 8 Maths and complements the NCERT Solutions for Class 8 Maths Understanding Shapes III (Special Types of Quadrilaterals). Students looking for clear explanations and step-by-step guidance will find RD Sharma Class 8 Solutions Chapter 17 extremely helpful. These solutions are especially important when preparing for school exams or understanding complex geometry concepts in a simple way.

By practicing the RD Sharma Class 8 Maths Chapter 17 problems, students can strengthen their understanding of different types of quadrilaterals, their angles, sides, and properties. Whether it’s solving angle-based questions or identifying shapes based on given conditions, this chapter makes learning both interesting and easy.

Moreover, these RD Sharma Class 8 Maths Solutions Chapter 17 are in line with the CBSE guidelines and follow the updated 2025-26 CBSE syllabus, ensuring students stay well-prepared. Alongside this, students may also refer to other useful resources such as RD Sharma Class 8 Chapter 2 2025-26 and NCERT Solutions for Class 8 Maths to gain a complete understanding of the subject.

If you're a Class 8 student aiming to improve your geometry skills, then RD Sharma Chapter 17 Class 8 is a must-study chapter. With regular practice and support from well-explained solutions, mastering the special types of quadrilaterals becomes easier and more enjoyable.

RD Sharma Class 8 Maths Chapter 17 – Understanding Shapes III PDF

RD Sharma Class 8 Maths Chapter 17 – Understanding Shapes III is an essential chapter for students studying geometry in Class 8. This chapter focuses on special types of quadrilaterals and their properties. To help students master this topic, the Class 8 Maths Chapter 17 Understanding Shapes III PDF provides easy-to-understand explanations and detailed solutions.

The RD Sharma Class 8 Understanding Shapes III solutions offer step-by-step guidance, ensuring students can solve problems related to quadrilaterals effectively. Whether you're looking for the Class 8 Maths Chapter 17 Understanding Shapes III solutions or the RD Sharma Chapter 17 Class 8 Understanding Shapes III PDF, these resources will support your learning. By referring to these materials, students can improve their grasp on the different shapes and their properties, making this chapter more accessible and engaging.

RD Sharma Questions for Class 8 Understanding Shapes III with Solutions

1. Find the sum of the interior angles of a quadrilateral.

Solution: The sum of the interior angles of any polygon can be calculated using the formula:

Sum of interior angles = (n - 2) × 180°, where n is the number of sides of the polygon.

For a quadrilateral, n = 4:

Sum of interior angles = (4 - 2) × 180° = 2 × 180° = 360°

The sum of the interior angles of a quadrilateral is 360°.

2. In a triangle, one angle measures 70° and the second angle measures 50°. Find the third angle.

Solution: The sum of the angles in a triangle is always 180°.

Third angle = 180° - (70° + 50°) = 180° - 120° = 60°

The third angle is 60°.

3. Find the measure of each interior angle of a regular hexagon.

Solution: For a regular polygon, the measure of each interior angle is given by the formula:

Each interior angle = (n - 2) × 180° / n

For a hexagon, n = 6:

Each interior angle = (6 - 2) × 180° / 6 = 4 × 180° / 6 = 120°

Each interior angle of a regular hexagon is 120°.

4. Find the sum of the exterior angles of any polygon.

Solution: The sum of the exterior angles of any polygon is always 360°.

5. In a quadrilateral, if three angles are 90°, 45°, and 100°, find the fourth angle.

Solution: The sum of the interior angles of a quadrilateral is 360°.

Let the fourth angle be x:

90° + 45° + 100° + x = 360°

235° + x = 360°

x = 360° - 235° = 125°

The fourth angle is 125°.

6. In a regular polygon, if each exterior angle measures 40°, find the number of sides.

Solution: The exterior angle of a regular polygon is given by:

Exterior angle = 360° / n

Given the exterior angle is 40°, solve for n:

40° = 360° / n

n = 360° / 40° = 9

The polygon has 9 sides.

7. The sum of the interior angles of a polygon is 1440°. Find the number of sides of the polygon.

Solution: The sum of the interior angles of a polygon is given by:

Sum of interior angles = (n - 2) × 180°

Let the number of sides be n. We are given the sum of the interior angles is 1440°:

(n - 2) × 180° = 1440°

n - 2 = 1440° / 180° = 8

n = 8 + 2 = 10

The polygon has 10 sides.

8. Find the exterior angle of a regular decagon.

Solution: The exterior angle of a regular polygon is given by:

Exterior angle = 360° / n

For a decagon, n = 10:

Exterior angle = 360° / 10 = 36°

The exterior angle of a regular decagon is 36°.

9. In a parallelogram, if one angle is 50°, find the other angles.

Solution: In a parallelogram, opposite angles are equal, and adjacent angles are supplementary.

If one angle is 50°, the opposite angle is also 50°.

The adjacent angle will be:

Adjacent angle = 180° - 50° = 130°

The angles of the parallelogram are 50°, 50°, 130°, and 130°.

10. Find the measure of each exterior angle of a regular polygon with 12 sides.

Solution: The exterior angle of a regular polygon is given by:

Exterior angle = 360° / n

For a polygon with 12 sides (n = 12):

Exterior angle = 360° / 12 = 30°

The exterior angle of a regular polygon with 12 sides is 30°.

Benefits of Using RD Sharma for Understanding Shapes III Maths Examination

RD Sharma Class 8 Chapter 17 – Understanding Shapes III is an excellent resource for students preparing for their Class 8 Maths examination. The detailed explanations and step-by-step solutions in the Class 8 Maths Chapter 17 Understanding Shapes III solutions help students understand the properties of special types of quadrilaterals. By using RD Sharma Class 8 Understanding Shapes III, students can grasp key concepts with ease and perform well in their exams. This resource not only helps with exam preparation but also builds a solid foundation for more advanced geometry topics.

Attributes of RD Sharma Class 8 Understanding Shapes III

RD Sharma Chapter 17 Class 8 Understanding Shapes III is designed with clarity and simplicity. It breaks down complex concepts into easy-to-understand steps, which makes learning more accessible for students. The RD Sharma Class 8 Maths Chapter 17 includes ample practice problems, ensuring that students can reinforce their understanding through hands-on learning. The solutions provided in the RD Sharma Class 8 Understanding Shapes III PDF offer clear and concise answers, making it easier to tackle challenging questions.

Advantages of RD Sharma Class 8 Understanding Shapes III

One of the key advantages of RD Sharma Class 8 Understanding Shapes III is its structured approach to teaching geometry. The Class 8 Maths Chapter 17 Understanding Shapes III solutions help students recognize and understand various quadrilaterals in detail, from parallelograms to trapeziums. The use of diagrams, examples, and exercises further aids in building a deeper understanding. Students also benefit from learning at their own pace with the RD Sharma Chapter 17 Class 8 Understanding Shapes III PDF, which they can refer to anytime for revision.

Why Should Students Choose RD Sharma Class 8 Understanding Shapes III?

Students should choose RD Sharma Class 8 Maths Chapter 17 for its comprehensive and well-structured content. The chapter simplifies the study of complex geometrical shapes and their properties. With the RD Sharma Class 8 Understanding Shapes III solutions, students can easily navigate through the topics, and the visual aids further enhance the learning experience. This makes it a great choice for anyone aiming to master the chapter and perform well in exams.

When Is the Best Time to Use RD Sharma Class 8 Understanding Shapes III?

The best time to use RD Sharma Class 8 Understanding Shapes III is when students begin studying this chapter in their curriculum or when they need to revise before exams. Since the chapter is fundamental for future geometry topics, students can refer to the RD Sharma Chapter 17 Class 8 Understanding Shapes III PDF for both initial learning and final revision. Using this resource consistently throughout the academic year will ensure a strong grasp of the subject.

The Impact of RD Sharma Class 8 Solutions Understanding Shapes III in Student’s Preparation

The RD Sharma Class 8 Understanding Shapes III solutions have a significant impact on students’ preparation by providing clear explanations and helping them solve difficult problems. These solutions not only reinforce learning but also build confidence for tackling geometry questions in exams. By working through the Class 8 Maths Chapter 17 Understanding Shapes III solutions, students improve their problem-solving skills, leading to better exam performance. The impact of using these solutions is seen in both understanding the subject and scoring well in assessments.