What is the complimentary and supplementary angle to #(2pi)/7#?

1 Answer
SagarStudy
Jan 5, 2016

Complimentary angles are those which add up to #pi/2#.
Let #theta# be the complimentary angle to #(2pi)/7#, then by definition
#theta+(2pi)/7=pi/2#
#implies theta=pi/2-(2pi)/7=(7pi-4pi)/14=(3pi)/14#
Therefore, the complimentary angle to #(2pi)/7#is #(3pi)/14#.

Supplementary angles re those which add up to #pi#.
Let #phi# be the supplementary angle to #(2pi)/7#, then by definition
#phi+(2pi)/7=pi#
#implies phi=pi-(2pi)/7=(7pi-2pi)/7=(5pi)/7#
Therefore, the complimentary angle to #(2pi)/7#is #(5pi)/7#.

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