## The Triangle and its Properties Exercise 6.2 – Questions:

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

(i)

(ii)

(iii)

(iv)

(v)

(vi)

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

(i)

(ii)

(iii)

(iv)

(v)

(vi)

## The Triangle and its Properties Exercise 6.2 – Solutions:

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

(i)

Solution:

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

x = 50º + 70º

x = 120º

(ii)

Solution:

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

x = 65º + 45º

x = 110º

(iii)

Solution:

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

x = 30º + 40º

x = 70º

(iv)

Solution:

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

x = 60º + 60º

x = 120º

(v)

Solution:

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

x = 50º + 50º

x = 100º

(vi)

Solution:

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

x = 30º + 60º

x = 90º

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

(i)

Solution:

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

115º = 50º + x

x = 115º – 50º

x = 65º

(ii)

Solution:

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

100º = 70º + x

x = 100º – 70º

x = 30º

(iii)

Solution:

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

125º = 90º + x

x = 125º – 90º

x = 35º

(iv)

Solution:

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

120º = 60º + x

x = 120º – 60º

x = 60º

(v)

Solution:

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

80º = 30º + x

x = 80º – 30º

x = 50º

(vi)

Solution:

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

75º = 35º + x

x = 75º – 35º

x = 40º