Triangles and its Properties Ex-6.2

NCERT solutions for Maths Triangles and its Properties 

NCERT Solutions for Class 7 Maths Triangles and its Properties

Class –VII Mathematics (Ex. 6.2)

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

Answer:

Since, Exterior angle = Sum of interior opposite angles, therefore

1. $x = 50^\circ + 70^\circ = 120^\circ$
2. $x = 65^\circ + 45^\circ = 110^\circ$
3. $x = 30^\circ + 40^\circ = 70^\circ$
4. $x = 60^\circ + 60^\circ = 120^\circ$
5. $x = 50^\circ + 50^\circ = 100^\circ$
6. $x = {60^ \circ } + {30^ \circ } = {90^ \circ }$

NCERT Solutions for Class 7 Maths Exercise 6.2

Question 2.Find the value of the unknown interior angle $x$ in the following figures:

Answer:

Since, Exterior angle = Sum of interior opposite angles, therefore

1. $x + 50^\circ = 115^\circ$ $\Rightarrow$ $x = 115^\circ – 50^\circ = 65^\circ$
2. $70^\circ + x = 100^\circ$ $\Rightarrow$ $x = 100^\circ – 70^\circ = 30^\circ$
3. $x + 90^\circ = 125^\circ$ $\Rightarrow$ $x = 120^\circ – 90^\circ = 35^\circ$
4. $60^\circ + x = 120^\circ$ $\Rightarrow$ $x = 120^\circ – 60^\circ = 60^\circ$
5. $30^\circ + x = 80^\circ$ $\Rightarrow$ $x = 80^\circ – 30^\circ = 50^\circ$
6. $x + 35^\circ = 75^\circ$ $\Rightarrow$ $x = 75^\circ – 35^\circ = 40^\circ$