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A triangle has two corners of angles #(pi )/6# and #(7pi)/12 #. What are the complement and supplement of the third corner?

Answer 1

Complement: #pi/4color(white)("XXXXXX")#Supplement: #(3pi)/4#

If two angles of a triangle are #pi/6# and #(7pi)/12# the third angle must be #color(white)("XXX")pi-(pi/6+(7pi)/12)=pi-(9pi)/12=pi/4#

Complementary angles add up to #pi/2# so the complement of the third angle must be #pi/2-pi/4=pi/4#

Supplementary angles add up to #pi# so the supplement of the third angle must be #pi=pi/4=(3pi)/4#

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Answer 2

Sadie Allen

The complement of the third corner is π/3 radians, and the supplement of the third corner is (5π)/12 radians.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.