The Triangle and its Properties - Solutions 3
CBSE Class –VII Mathematics
NCERT Solutions
Chapter 6 The Triangle and its Properties (Ex. 6.3)
NCERT Solutions
Chapter 6 The Triangle and its Properties (Ex. 6.3)
Question 1. Find the value of unknown in the following diagrams:
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/07/mathematics/07_math_ncert_ch06_05.jpg)
Answer: (i) In
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/07/mathematics/07_math_ncert_ch06_05.jpg)
Answer: (i) In
BAC + ABC + ACB = [By angle sum property of a triangle]
(ii) In PQR,
RPQ + PQR + RPQ = [By angle sum property of a triangle]
(iii) In XYZ,
ZXY + XYZ + YZX = [By angle sum property of a triangle]
(iv) In the given isosceles triangle,
[By angle sum property of a triangle]
(v) In the given equilateral triangle,
[By angle sum property of a triangle]
(vi) In the given right angled triangle,
[By angle sum property of a triangle]
Question 2. Find the values of the unknowns and in the following diagrams:
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/07/mathematics/07_math_ncert_ch06_06.jpg)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/07/mathematics/07_math_ncert_ch06_07.jpg)
Answer: (i) [Exterior angle property of a ]
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/07/mathematics/07_math_ncert_ch06_06.jpg)
![](https://media-mycbseguide.s3.amazonaws.com/images/static/ncert/07/mathematics/07_math_ncert_ch06_07.jpg)
Answer: (i) [Exterior angle property of a ]
Now, [Angle sum property of a ]
(ii) ……….(i) [Vertically opposite angle]
Now, [Angle sum property of a ]
[From eq. (i)]
(iii) [Exterior angle property of a ]
Now [Angle sum property of a ]
(iv) ……….(i) [Vertically opposite angle]
Now, [Angle sum property of a ]
[From eq. (i)]
(v) ……….(i) [Vertically opposite angle]
Now, [Angle sum property of a ]
[From eq. (i)]
(vi) ……….(i) [Vertically opposite angle]
Now, [Angle sum property of a ]
[From eq. (i)]