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°, the two angles cannot be supplementary. Because, their sum will be always less than 90°.

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(ii) Obtuse

Solution:-

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

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(iii) right

Solution:-

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

∴90° + 90° = 180°