Q129 of 158 Page 159

In Fig. 6.40, find the values of x, y and z.

Formula Used/Theory:-


→ Angle sum property


Sum of all angles of triangle is 180°


→ Exterior angle is equal to sum of interior opposite angles


In Δ ABC


By angle sum property


∠A + ∠B + ∠C = 180°


90° + 60° + z = 180°


z = 180° - 150°


z = 30°


By exterior angle property


∠y = 60° + 60° = 120°


By exterior angle property


∠x = 30° + z


∠x = 30° + 30° = 60°


Result:- The value of x;y;z is 60°;120°;30°


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