Question

Can two angles be supplementary if both of them are:

(i) acute?
(ii) obtuse?
(iii) right?

Answer 1

(i) No. If both the angles are acute, i.e. less than 90°, they cannot be supplementary as their sum will always be less than 180°.

(ii) No. If both the angles are obtuse, i.e. more than 90°, they cannot be supplementary as their sum will always be more than 180°.

(iii) Yes. If both the angles are right, i.e. they both measure 90°, then they form a supplementary pair.
90° + 90° = 180°