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’’

(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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