Can two angles be supplementary if both of them are:

(i) Acute? (ii) Obtuse? (iii) Right?

(i) No. Acute angle is always lesser than 90º. It can be observed that two

angles, even of 89º, cannot add up to 180º. Therefore, two acute angles cannot be in a supplementary angle pair.

(ii) No. Obtuse angle is always greater than 90º. It can be observed that two angles, even of 91º, will always add up to more than 180º. Therefore, two obtuse angles cannot be in a supplementary angle pair.

(iii) Yes. Right angles are of 90º and 90º + 90º = 180°

Therefore, two right angles form a supplementary angle pair together.

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