Question

Which of the pair given is complementary and which are not:
a) ${15}^{\circ },{75}^{\circ }$
b) ${76}^{\circ },{47}^{\circ }$
c) ${64}^{\circ },{26}^{\circ }$

Answer 1

We know that, if two angles are complementary, then their sum is ${90}^o$.

Given, the angles are:

a) ${15}^o$ and ${75}^o$.

Then, their sum $={15}^o+{75}^o={90}^o$.

Therefore, they are complementary.

b) ${76}^o$ and ${47}^o$.

Then, their sum $={76}^o+{47}^o={123}^o$.

Therefore, they are not complementary.

c) ${64}^o$ and ${26}^o$.

Then, their sum $={64}^o+{26}^o={90}^o$.

Therefore, they are complementary.