Q. 4

Find the complement of each of the following angles.

(i) 58°

(ii) 16°

(iii) of a right angle

(iv) 46°30’

(v) 52°43’20’’

(vi) 68°35’45’’

Answer :

(i) 32°


Complement of angle = 90° – θ


Complement of 58° = 90° - 58°


= 32°


(ii) 74°


Complement of angle = 90° – θ


Complement of 58° = 90° - 16°


= 74°


(iii) 30°


Right angle = 90°


of a right angle = × 90°


= 60°


Complement of 60° = 90° - 60°


= 30°


(iv) 43°30’


Complement of angle = 90° – θ


Complement of 46°30’ = 90° - 46°30’


= 89°60’ - 46°30’


(v) 37°16’40’’


Complement of angle = 90° – θ


Complement of 52°43’20’’ = 90° - 52°43’20’’


= 89°59’60’’ - 52°43’20’’


= 37°16’40’’


(vi) 21°24’15’’


Complement of angle = 90° – θ


Complement of 68°35’45’’ = 90° - 68°35’45’’


= 89°59’60’’ - 68°35’45’’


= 68°35’45’’


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