Angles In Shape - Orchids The International School
Job Alert : To view our Careers Page Click Here X
info@orchids.edu.in (+91) 8-888-888-999
ORCHIDS The International School

Geometry

Angles In Shape

  • 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.
    Boy
  • 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.

Angles 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°.
Boy

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

Equilateral angle:

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

Boy

Isosceles angle:

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

Boy

Scalene triangle:

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

Boy

Right-angled triangle:

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

Boy

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°.
Boy

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°.
Boy

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.

Boy

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.

Boy

Solution:

Given angle = 60°

Total sum = 90°

Missing angle = 90° – 60°

                 = 30°

Boy

Did you know?

Boy
Boy
  • -

    Admission Enquiry

    A Journey To A Better Future Begins With Us