Question

Find the complements of the following angles:-
a) ${45}^{\circ }$
b) $8^{\circ }$
c) ${20}^{\circ }$
d) ${25}^{\circ }$
e) ${78}^{\circ }$

Answer 1

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

Let $x$ be the one angle.

So, the complement of $x={90}^o-x$.

a) The complement of $x={45}^o$ is ${90}^o-x={90}^o-{45}^o={45}^o.$

b) The complement of $x=8^o$ is ${90}^o-x={90}^o-8^o={82}^o.$

c) The complement of $x={20}^o$ is ${90}^o-x={90}^o-{20}^o={70}^o.$

d) The complement of $x={25}^o$ is ${90}^o-x={90}^o-{25}^o={65}^o.$

e) The complement of $x={78}^o$ is ${90}^o-x={90}^o-{78}^o={12}^o.$