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Question

Identify the complementary and supplementary pairs of angles from the following pairs:
(i) 25°, 65°
(ii) 120°, 60°
(iii) 63°, 27°
(iv) 100°, 80°

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Solution

Since
(i) 25°+65°=90° , therefore this is complementary pair of angle. (ii) 120°+ 60°= 180°, therefore this is supplementary pair of angle.(iii) 63°+27°= 90°, therefore this is complementary pair of angle.(iv) 100°+ 80°= 180° , therefore this is supplementary pair of angle.

Therefore, (i) and (iii) are the pairs of complementary angles and (ii) and (iv) are the pairs of supplementary angles.

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