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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Exterior Angle of a Triangle and Its Property

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

Give Triangle and Angle X, Y, 50 Degree and 120 Degree
Give Triangle and Exterior Angle
Give Triangle and Angle 50 Degree and 60 Degree
Give Triangle and Angle 30 Degree and X and Y
Triangle and Exterior Angle Are Given
Triangle and Exterior Angle Shown in Figure

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) ]

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