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"

Question

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"

KnowledgeBoat · Accepted Answer

(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, 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" Supplement of 83° 45' 30" = 96° 14' 30" Hence, the answer is 96° 14' 30".

Mathematics

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"

Lines & Angles

Related Questions

If x° and (x + 30)° are complements of each other, find the value of x.

If z° and (z + 50)° are supplements of each other, find the value of z.

Mathematics

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"

Lines & Angles

Related Questions

If x° and (x + 30)° are complements of each other, find the value of x.

If z° and (z + 50)° are supplements of each other, find the value of z.

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"