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Let the angle be A.

complement of an angle A is 90 deg. - A

supplement of that angle is 180 deg - A

given the complement is 1/6 th of supplement.

=> 90 - A = 1/6 *(180 - A)

= 30 - A/ 6

5A/6 = 60 deg.

solving that A = 72 deg.

complement of an angle A is 90 deg. - A

supplement of that angle is 180 deg - A

given the complement is 1/6 th of supplement.

=> 90 - A = 1/6 *(180 - A)

= 30 - A/ 6

5A/6 = 60 deg.

solving that A = 72 deg.