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’’
(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’’