Q. 5

Find the supplement of each of the following angles.

(i) 63°

(ii) 138°

(iii) of a right angle

(iv) 75°36’

(v) 124°20’40’’

(vi) 108°48’32’’

Answer :

(i) 117°


Supplement of angle = 180° – θ


Supplement of 58° = 180° - 63°


= 117°


(ii) 42°


Supplement of angle = 180° – θ


Supplement of 58° = 180° - 138°


= 42°


(iii) 126°


Right angle = 90°


of a right angle = × 90°


= 54°


Supplement of 54° = 180° - 54°


= 126°


(iv) 104°24’


Supplement of angle = 180° – θ


Supplement of 75°36’ = 180° - 75°36’


= 179°60’ - 75°36’


= 104°24’


(v) 55°39’20’’


Supplement of angle = 180° – θ


Supplement of 124°20’40’ = 180° - 124°20’40’’


= 179°59’60” - 124°20’40’’


= 55°39’20’’


(vi) 71°11’28’’


Supplement of angle = 180° – θ


Supplement of 108°48’32’’ = 180° - 108°48’32’’


= 179°59’60” - 108°48’32’’


= 71°11’28’’


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