Answer :
Complement: 17 degrees, Supplement: 197 degrees (Option a)
The complement of an angle is the angle that, when added to the given angle, results in a sum of 90 degrees. The supplement of an angle is the angle that, when added to the given angle, results in a sum of 180 degrees. To find the complement of 163 degrees, subtract it from 90 degrees, yielding \( 90^\circ - 163^\circ = 17^\circ \). Similarly, to find the supplement, subtract 163 degrees from 180 degrees, resulting in \( 180^\circ - 163^\circ = 197^\circ \).
Therefore, the complement of the angle 163 degrees is 17 degrees, and the supplement is 197 degrees. These angles are obtained by subtracting the given angle from 90 degrees and 180 degrees, respectively, according to the definitions of complement and supplement. Option a correctly represents these values.
