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NCERT Solutions – Class 7 Maths The Triangle and its Properties Ex 6.2

NCERT Solutions – The Triangle and its Properties

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    Ex 6.2 Class 7 Maths Question 1.

    Find the value of the unknown exterior angle x in the following diagrams:
    NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.2 1
    Solution:
    (i) ∠x = 50° + 70° = 120° (Exterior angle is equal to sum of its interior opposite angles)
    (ii) ∠x = 65°+ 45° = 110° (Exterior angle is equal to sum of its interior opposite angles)
    (iii) ∠x = 30° + 40° = 70° (Exterior angle is equal to sum of its interior opposite angles)
    (iv) ∠x = 60° + 60° = 120° (Exterior angle is equal to sum of its interior opposite angles)
    (v) ∠x = 50° + 50° =100° (Exterior angle is equal to sum of its interior opposite angles)
    (vi) ∠x = 30° + 60° = 90° (Exterior angle is equal to sum of its interior opposite angle)

     

    Ex 6.2 Class 7 Maths Question 2.

    Find the value of the unknown interior angle x in the following figures:
    NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.2 2
    Solution:
    (i) ∠x + 50° = 115° (Exterior angle of a triangle)
    ∴ ∠x = 115°- 50° = 65°
    (ii) ∠x + 70° = 110° (Exterior angle of a triangle)
    ∴ ∠x = 110° – 70° = 40°
    (iii) ∠ x + 90° = 125° (Exterior angle of a right triangle)
    ∴ ∠x = 125° – 90° = 35°
    (iv) ∠x + 60° = 120° (Exterior angle of a triangle)
    ∴ ∠x = 120° – 60° = 60°
    (v)∠ X + 30° = 80° (Exterior angle of a triangle)
    ∴ ∠x = 80° – 30° = 50°
    (vi) ∠ x + 35° = 75° (Exterior angle of a triangle)
    ∴ ∠ x = 75° – 35° = 40°

     

    NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.2 Q1

    NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Ex 6.2 Q2

     

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