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Question 3 Lines and Angles Exercise 13

Can two angles be supplementary if both of them are?

(i). Acute?

(ii). Obtuse?

(iii). Right?

Answer:

(i) No. If two angles are acute, means less than 90^{\circ}, the two angles cannot be supplementary. Because, their sum will be always less than 90^{\circ}.

(ii) No. If two angles are obtuse, means more than 90^{\circ}, the two angles cannot be supplementary. Because, their sum will be always more than 180^{\circ}.

(iii) Yes. If two angles are right, means both measures 90^{\circ}, then two angles can form a supplementary pair.

\therefore 90^{\circ}+90^{\circ}=180

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