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

1 Answer
sandeep b.
Sep 11, 2016

The Compliment angle is IMPOSSIBLE and the Supplement angle is #(pi)/3#

Explanation:

The two angles of the triangle are #pi/6#. It is an isosceles triangle.
The third angle is #pi# - 2*#pi/6# = #(2pi)/3# .

As supplementary angles add up to #pi# ,to find the Supplement angle of #(2pi)/3# ; we have to deduct #(2pi)/3# from #pi#.

So, the supplementary angle is => #pi# - #(2pi)/3# = #pi/3#

As complementary angles add up to #pi/2#; to find the complement angle of #(2pi)/3# ; we have to deduct #(2pi)/3# from #pi/2#.

So, the complementary angle is => #pi/2# - #(2pi)/3# = -#pi/6# ; which is IMPOSSIBLE, as any triangle has no negative angles.

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