Question
Class 7MathematicsThe Triangle and Its Properties

In the given diagrams, find the value of x in each case.

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Verified Answer

(i) x + 45° + 30° = 180° (Angle sum property of a triangle)

     ⇒ x + 75° – 180°

     ⇒ x = 180° – 75°

     x = 105°

(ii) Here, the given triangle is right angled triangle.

     x + 30° = 90°

     ⇒ x = 90° – 30° = 60°

(iii) x = 60° + 65° (Exterior angle of a triangle is equal to the sum of interior opposite angles)

     ⇒ x = 125°