# NCERT Class 7 Mathematics Solutions: Chapter 6 – the Triangle and Its Properties Exercise 6.3 Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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1. Find the values of the unknowns in the following diagrams:

Answer:

(i) Consider,

[Exterior angle property of triangle]

Now,

[Angle sum property of triangle]

(ii) … eq (1)

Now,

[Angle sum property of triangle]

[From eq (1) ]

(iii) [Exterior angle property of a triangle]

Now,

[Angle sum property of a triangle]

(iv) … eq (1) [Vertically opposite angle]

Now,

[Angle sum property of a triangle]

[From equation (i) ]

(v) … eq (1) [Vertically opposite angle]

Now,

[Angle sum property of a triangle]

[From equation (i) ]

(vi) … eq (1) [Vertically opposite angle]

Now,

[Angle sum property of a triangle]

[From equation (i) ]