Answer:
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Answer withReason:1 Mark each
(i) Triangle ABC is not possible. This is because, for any triangle, the sum of two sides should be greater than the third but AB + BC < AC.
(ii) Triangle ABC is not possible. Sum of all angles in a triangle should be 180${}^o$ but here,
$\angle A$$\left({60}^o\right)$ + $\angle B$$\left({120}^o\right)$ + $\angle C$$\left({30}^o\right)$ = 210${}^o$
(iii)Triangle ABC is possible because it satisfies the condition for the formation of a triangle i.e. the sum of two sides should be greater than the third.
(iv)Triangle ABC is possible. Sum of all angles in a triangle should be 180${}^o$ and here,
$\angle A$$\left({60}^o\right)$ + $\angle B$$\left({90}^o\right)$ + $\angle C$$\left({30}^o\right)$ = 180${}^o$