A triangle has two corners of angles #pi /12# and #pi/6 #. What are the complement and supplement of the third corner?

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Answer 1 · 2018-05-22T13:30:11

Complementary of third angle #= -pi/4#

Supplementary of third angle # = pi/4#

#hat A = pi/12, hat B = pi/6, hat C = pi - pi/12 - pi/6 = (3pi)/4#

Complementary angle of #hat C = pi/2 - (3pi)/4 = -(pi/4)#

Supplementary angle of #hat C = pi - (3pi)/4 = pi/4#