Angle Complements Supplements
1. The problem asks to find the complement and supplement of given angles.
2. Recall the definitions:
- Complement of an angle $\theta$ is $90^\circ - \theta$ if $\theta < 90^\circ$.
- Supplement of an angle $\theta$ is $180^\circ - \theta$ if $\theta < 180^\circ$.
3. For part (a), angle is $62^\circ$.
- Complement: $90^\circ - 62^\circ = 28^\circ$.
4. For part (b), angle is $62^\circ$.
- Supplement: $180^\circ - 62^\circ = 118^\circ$.
5. For part (c), angle is $163^\circ$.
- Complement: Since $163^\circ > 90^\circ$, no complement exists. Answer: none.
6. For part (d), angle is $163^\circ$.
- Supplement: $180^\circ - 163^\circ = 17^\circ$.
Final answers:
(a) Complement of $62^\circ$ is $28^\circ$.
(b) Supplement of $62^\circ$ is $118^\circ$.
(c) Complement of $163^\circ$ is none.
(d) Supplement of $163^\circ$ is $17^\circ$.