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  • Can two angles be supplementary if both of them are:

7.  Can two angles be supplementary if both of them are:

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

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We know that the sum of supplementary angles is 180^{\circ}.

(i) The maximum value of the sum of two acute angles is less than 180^{\circ}. Thus two acute angles can never be supplementary.

(ii) The minimum value of the sum of two obtuse angles is more than 180^{\circ}. Thus two obtuse angles can never be supplementary.

(iii) Sum of two right angles is 180^{\circ}. Hence two right angles are supplementary.

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Sanket Gandhi

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