Write the supplement of each of the following angles :

(i) 58°

(ii) 105°

(iii) 0.6 of a right angle

(iv) (x - 30)°

(v) 62° 56'

(vi) 83° 45' 30"

(i) 58°

Supplement of 58° = 180° − 58° = 122°

Hence, the answer is 122°.

(ii) 105°

Supplement of 105° = 180° − 105° = 75°

Hence, the answer is 75°.

(iii) 0.6 of a right angle

First, let's calculate the angle:

Right angle = 90°

∴ 0.6 of a right angle = 0.6 x 90° = 54°

Supplement of 54° = 180° − 54° = 126°

Hence, the answer is 126°.

(iv) (x - 30)°

Supplement of (x - 30)° = 180° − (x - 30)°

= 180° − x° + 30°

= 210° - x°

= (210 - x)°

Hence, the answer is (210 - x)°.

(v) 62° 56'

To subtract 56' from 0', we borrow 1° from the 180° and convert it into 60'.

Supplement of 62° 56' = 180° - 62° 56'

= 179° 60' - 62° 56'

Thus,

$\begin{array}{rr} 179^\circ & 60' \ -62^\circ & 56' \ \hline 117^\circ & 04' \ \hline \end{array}$

Supplement of 62° 56' = 117° 4'

Hence, the answer is 117° 4'.

(vi) 83° 45' 30"

To subtract 30'' and 45' from 00'' and 00', we borrow 1° from 180° to get 60', and then borrow 1' from that to get 60'', leaving 179° and 59'.

Supplement of 83° 45' 30" = 180° - 83° 45' 30"

= 179° 59' 60" - 83° 45' 30"

$\begin{array}{rrr} 179^\circ & 59' & 60'' \ -83^\circ & 45' & 30'' \ \hline 96^\circ & 14' & 30'' \ \hline \end{array}$

Supplement of 83° 45' 30" = 96° 14' 30"

Hence, the answer is 96° 14' 30".