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 page’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.
    Circle image
  • 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 180°.
Triangle image

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

Equilateral Triangles Angles:

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

Equilateral triangles angles

Isosceles Triangle Angles:

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

Isosceles Triangle angles

Scalene Triangle Angles:

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

scalene triangle angles

Right-angled Triangle Angles:

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

right angle triangle angles

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 90°.
  • Sum of the interior angle of the rectangle is 360°.
rectangle image

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

∠A = ∠B = ∠C = ∠D = 90°

∠A + ∠B + ∠C + ∠D = 360°

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 90°.
  • Sum of the interior angle of the square is 360°.
Square image

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

∠A = ∠B = ∠C = ∠D = 90°

∠A + ∠B + ∠C + ∠D = 360°

Missing Angles

Example 1:

Find the missing angle of the given triangle.

Triangle image

Solution:

Sum of the given angle = 120° + 28°

                 = 148°

The total sum of the interior angle = 180°

Missing angle = 180° – 148°

                 = 32°

Example 2:

Find the missing angle.

Angle image

Solution:

Given angle = 60°

Total sum = 90°

Missing angle = 90° – 60°

                 = 30°

New word in shapes and angle

Did you know?

did you know of shapes and angle
mind map in shapes and angle
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