Question

Write the complement of each of the following angles:
(i) ${20}^{\circ }$ (ii) ${35}^{\circ }$ (iii) ${90}^{\circ }$ (iv) ${77}^{\circ }$ (v) ${30}^{\circ }$

Answer 1

We know that two angles are complement to each other if their sum is ${90}^{\circ }$.Therefore,
(i) Complement of ${20}^{\circ }$ is ${90}^{\circ }-{20}^{\circ }={70}^{\circ }$
(ii) Complement of ${35}^{\circ }$ is ${90}^{\circ }-{35}^{\circ }={55}^{\circ }$
(iii) Complement of ${90}^{\circ }$ is ${90}^{\circ }-{90}^{\circ }=0^{\circ }$
(iv) Complement of ${77}^{\circ }$ is ${90}^{\circ }-{77}^{\circ }={13}^{\circ }$
(v) Complement of ${30}^{\circ }$ is ${90}^{\circ }-{30}^{\circ }={60}^{\circ }$