1.

Find the value of the unknown exterior angle x in the following diagrams :

Answer» (i) ∠x = 50° + 70° = 120°

(∵ The exterior angle of the triangle is equal to the sum of its two interior opposite angles.)

(ii) ∠x = 45° + 65° = 110

(∵ The exterior angle of the triangle is equal to the sum of its two interior opposite angles.)

(iii) ∠x = 30° + 40° = 70°

(∵ The exterior angle of the triangle is equal to the sum of its two interior opposite angles.)

(iv) ∠x = 60° + 60° = 120°

(∵ The exterior angle of the triangle is equal to the sum of its two interior opposite angles.)

(v) ∠x = 50° + 50° = 100°

(∵ The exterior angle of a triangle is equal to the sum of its two interior opposite angles.)


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