7th mathematics NCERT exercise questions with solutions, Mathematics

The Triangle and its Properties Exercise 6.2 – Class 7

The Triangle and its Properties Exercise 6.2 – Questions:

  1. Find the value of the unknown exeterior angle x in the following diagrams:

(i)

The Triangle and its Properties Exercise 6.2

(ii)

The Triangle and its Properties Exercise 6.2

(iii)

The Triangle and its Properties Exercise 6.2

(iv)

The Triangle and its Properties Exercise 6.2

(v)

The Triangle and its Properties Exercise 6.2

(vi)

The Triangle and its Properties Exercise 6.2


  1. Find the value of the unknown interior angle x in the following figure:

(i)

The Triangle and its Properties Exercise 6.2

(ii)

The Triangle and its Properties Exercise 6.2

(iii)

The Triangle and its Properties Exercise 6.2

(iv)

The Triangle and its Properties Exercise 6.2

(v)

The Triangle and its Properties Exercise 6.2

(vi)

The Triangle and its Properties Exercise 6.2


The Triangle and its Properties Exercise 6.2 – Solutions:

  1. Find the value of the unknown exterior angle x in the following diagrams:

(i)

The Triangle and its Properties Exercise 6.2

Solution:

We know, an exterior angle of a triangle is equal to the sum of its interior opposite angles.

x = 50º + 70º

x = 120º

 

(ii)

The Triangle and its Properties Exercise 6.2

Solution:

We know, an exterior angle of a triangle is equal to the sum of its interior opposite angles.

x = 65º + 45º

x = 110º

 

(iii)

The Triangle and its Properties Exercise 6.2

Solution:

We know, an exterior angle of a triangle is equal to the sum of its interior opposite angles.

x = 30º + 40º

x = 70º

 

(iv)

The Triangle and its Properties Exercise 6.2

Solution:

We know, an exterior angle of a triangle is equal to the sum of its interior opposite angles.

x = 60º + 60º

x = 120º

 

(v)

The Triangle and its Properties Exercise 6.2

Solution:

We know, an exterior angle of a triangle is equal to the sum of its interior opposite angles.

x = 50º + 50º

x = 100º

 

(vi)

The Triangle and its Properties Exercise 6.2

Solution:

We know, an exterior angle of a triangle is equal to the sum of its interior opposite angles.

x = 30º + 60º

x = 90º


  1. Find the value of the unknown interior angle x in the following figure:

(i)

The Triangle and its Properties Exercise 6.2

Solution:

We know, an exterior angle of a triangle is equal to the sum of its interior opposite angles.

115º = 50º + x

x = 115º – 50º

x = 65º

 

(ii)

The Triangle and its Properties Exercise 6.2

Solution:

We know, an exterior angle of a triangle is equal to the sum of its interior opposite angles.

100º = 70º + x

x = 100º – 70º

x = 30º

 

(iii)

The Triangle and its Properties Exercise 6.2

Solution:

We know, an exterior angle of a triangle is equal to the sum of its interior opposite angles.

125º = 90º + x

x = 125º – 90º

x = 35º

 

(iv)

The Triangle and its Properties Exercise 6.2

Solution:

We know, an exterior angle of a triangle is equal to the sum of its interior opposite angles.

120º = 60º + x

x = 120º – 60º

x = 60º

 

(v)

The Triangle and its Properties Exercise 6.2

Solution:

We know, an exterior angle of a triangle is equal to the sum of its interior opposite angles.

80º = 30º + x

x = 80º – 30º

x = 50º

 

(vi)

The Triangle and its Properties Exercise 6.2

Solution:

We know, an exterior angle of a triangle is equal to the sum of its interior opposite angles.

75º = 35º + x

x = 75º – 35º

x = 40º

 

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