Question

Can two angles be supplementary if both of them are:
(i) acute?
(ii) obtuse?
(iii) right?

Answer 1

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

angles, even of 89°, cannot add up to 180º.

Therefore, two acute angles cannot be in a supplementary angle pair.

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

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

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

Hence verified!

Answer 2

Answer:

Step-by-step explanation:

acute angle