A triangle has two corners of angles #pi /8# and #(3pi)/8 #. What are the complement and supplement of the third corner?

Answer 1

complement: #0#
supplement: #pi/2 = 90^@#

Two angles are complementary if the add up to #pi/2 = 90^@#. Two angles are supplementary if they add up to #pi = 180^@#
Since the interior angles of a triangle add up to #pi=180^@# if two angles of a triangle are #pi/8# and #(3pi)/8# then the third angle will be #color(white)("XXX")pi - (pi/8+(3pi)/8) = pi/2=90^@#
and #color(white)("XXX")#the complement of this third angle will be #0# and #color(white)("XXX")#the supplement of this third angle will be #pi/2=90^@#
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Answer 2

The complement of the third corner of the triangle is ( \frac{\pi}{2} - \frac{\pi}{8} = \frac{3\pi}{8} ). The supplement of the third corner is ( \pi - \frac{3\pi}{8} = \frac{5\pi}{8} ).

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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.

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.

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.

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.

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