1.

In each of the following, the measures of three angles are given. State in which cases the angles can possibly be those of a triangle:(i) 63°, 37°, 80°(ii) 45°, 61°, 73°(iii) 59°, 72°, 61°(iv) 45°, 45°, 90°(v) 30°, 20°, 125°

Answer»

(i) 63° + 37° + 80° = 180°

Angles form a triangle

(ii) 45°, 61°, 73° is not equal to 180°

Therefore not a triangle

(iii) 59°, 72°, 61° is not equal to 180°

Therefore not a triangle

(iv) 45° + 45°+ 90° = 180°

Angles form a triangle

(v) 30°, 20°, 125° is not equal to 180°

Therefore not a triangle



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