A triangle has two corners of angles #pi /8# and #(pi)/4 #. What are the complement and supplement of the third corner?
1 Answer
Complement is
Supplement is
Explanation:
Note:
We need to find the value of the angles
#color(orange)(pi/8=180/8=22.5^circ#
#color(brown)(pi/4=180/4=45^circ#
Our next step is to find the third angle of the triangle. For that, we use the rule
So,
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Now we have come to the last step. We need to find the supplement and complement of
Let's recall
#color(violet)("Complement of an angle " x^circ=90^circ-x^circ#
#color(purple)("Supplement of an angle " x^circ=180^circ-x^circ#
So,
#"Complement"=90^circ-112.5^circ=-22.5^circ#
#"Supplement"=180^circ-112.5^circ=67.5^circ#
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Therefore, the Complement is
Hope this helps!!! :)