Question

Can two angles be supplementary if both of them are?

(i). Acute?

(ii). Obtuse?

(iii). Right?

Answer 1

(i). Acute

No. If two angles are acute, means less than 90^o, the two angles cannot be supplementary. Because, their sum will be always less than 90^o.

(ii). Obtuse

No. If two angles are obtuse, means more than 90^o, the two angles cannot be supplementary. Because, their sum will be always more than 180^o.

(iii). Right

Yes. If two angles are right, means both measures 90^o, then two angles can form a supplementary pair.

∴90^o + 90^o = 180