A triangle has two corners of angles #pi /12# and #(2pi)/3 #. What are the complement and supplement of the third corner?

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Answer 1 · 2018-06-08T13:58:33

Refer to the explanation.

We first note that #pi# radians is equal to #180# degrees. So the angles here are #pi/12=15^@,2/3pi=120^@#.

The remaining angle is therefore: #180^@-15^@-120^@=45^@#.

The complementary angle to this angle is: #90^@-45^@=45^@#.

The supplementary angle to this angle is: #180^@-45^@=135^@#.