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  • Identify which of the following pairs of angles are complementary and which are supplementary.

3. Identify which of the following pairs of angles are complementary and which are supplementary.

           (i) 65^{o},115^{o}        (ii) 63^{o}, 27^{o}     (iii) 112^{o}, 68^{o}

          (iv) 130^{o}, 50^{o}      (v) 45^{o}, 45^{o}      (vi) 80^{o}, 10^{o}
 

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We know that the sum of supplementary angles is  180^{\circ} and the sum of complementary angle is 90^{\circ}.

(i) Sum of the angles is :    65^{\circ}\ +\ 115^{\circ}\ =\ 180^{\circ}. Hence these are supplementary angles.

(ii) Sum of the angles is :    63^{\circ}\ +\ 27^{\circ}\ =\ 90^{\circ}. Hence these are complementary angles.

(iii) Sum of the angles is :    112^{\circ}\ +\ 68^{\circ}\ =\ 180^{\circ}. Hence these are supplementary angles.

(iv) Sum of the angles is :    130^{\circ}\ +\ 50^{\circ}\ =\ 180^{\circ}. Hence these are supplementary angles.

(v) Sum of the angles is :    45^{\circ}\ +\ 45^{\circ}\ =\ 90^{\circ}. Hence these are complementary angles.

(vi)  Sum of the angles is :    80^{\circ}\ +\ 10^{\circ}\ =\ 90^{\circ}. Hence these are complementary angles.

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Devendra Khairwa

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