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## Sagot :

'Supplement' = difference between an angle and 180 degrees.

Complement of A = 90 - A

Supplement of A = 180 - A

The problem says that the complement is 1/6 of the supplement, right ?

So

__90 - A = (1/6) x (180 - A)__Multiply each side of this equation by 6 :

540 - 6 A = 180 - A

Subtract 180 from each side:

360 - 6 A = - A

Add 6A to each side :

360 = 5 A

Divide each side by 5 :

__A = 72°__