Angles In Shapes: Definition, Types | Class 5 - Geometry
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# Geometry

## Angles In Shape

The content of Shapes and Angle Class 5 contains the description of different angles in shape. Here students will learn about equilateral triangle angles.

In this learning concept, the students will also learn to

• Classify scalene triangle angles.
• Identify how many angles are there in a triangle.
• Evaluate how many right angles are in a triangle.

Each concept is explained to class 5 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the two printable worksheets given at the pageâ€™s end.

Download the class 5 maths shapes and angles worksheet and check the solutions to the shapes and angle question for class 5 provided in PDF format.

• Every object around us has a specific shape.
• The shape is classified into two types: Open shape and Closed shape.
• The shape in which the starting and the ending point are not the same is called the open shape. An open shape has space between them.
• The shape in which the starting and the ending point are the same is called the closed shape. A closed shape has no space between them.
• A circle is a closed shape.
• A semi-circle is an open shape.
• The angle inside the shape is called the interior angle of a shape.

How Many Angles Are There in a Triangle?

• A triangle is three sides bounded figure.
• It has three interior angles.
• Sum of the interior angle of the triangle is 180Â°.

The three-interior angle of the triangle is âˆ A, âˆ B, and âˆ C. âˆ A + âˆ B + âˆ C = 180Â°.

## Equilateral Triangles Angles:

A triangle in which all the interior angles are equal to 60Â° is called an equilateral triangle.

## Isosceles Triangle Angles:

A triangle in which two interior angles are equal is called an isosceles triangle.

## Scalene Triangle Angles:

A triangle in which no interior angles are equal is called a scalene triangle.

## Right-angled Triangle Angles:

A triangle in which one of the angles is equal to 90Â° is called a right-angled triangle.

How Many Right Angles in a Rectangle?

• A rectangle is four sides closed figure.
• Opposite sides of the rectangle are parallel and equal.
• It has 4 interior angles.
• Each interior of the rectangle is equal to 90Â°.
• Sum of the interior angle of the rectangle is 360Â°.

The four-interior angle of the rectangle is âˆ A, âˆ B, âˆ C, and âˆ D.

âˆ A = âˆ B = âˆ C = âˆ D = 90Â°

âˆ A + âˆ B + âˆ C + âˆ D = 360Â°

Angles in a Square

• A square is four sides closed figure.
• Each side of the square is equal in length.
• It has 4 interior angles.
• Each interior of the square is equal to 90Â°.
• Sum of the interior angle of the square is 360Â°.

The four-interior angles of the square are âˆ A, âˆ B, âˆ C, and âˆ D.

âˆ A = âˆ B = âˆ C = âˆ D = 90Â°

âˆ A + âˆ B + âˆ C + âˆ D = 360Â°

Missing Angles

Example 1:

Find the missing angle of the given triangle.

Solution:

Sum of the given angle = 120Â° + 28Â°

= 148Â°

The total sum of the interior angle = 180Â°

Missing angle = 180Â° â€“ 148Â°

= 32Â°

Example 2:

Find the missing angle.

Solution:

Given angle = 60Â°

Total sum = 90Â°

Missing angle = 90Â° â€“ 60Â°

= 30Â°

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