Subjects geometry

Angle Complements Supplements

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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 $17^\circ$.