A triangle has two corners of angles #pi /8# and #(5pi)/8 #. What are the complement and supplement of the third corner?
1 Answer
I'm assuming you want answers in radians, so here they are:
Complement =
Supplement =
Explanation:
Since we are working with a denominator of 8, let's convert our basic radian measures to a denominator of 8 to make this more easy to work with.
90 degrees =
180 degrees =
The supplement is quite easy to find:
All 3 angles of a triangle add up to 180 degrees (
Supplementary angles add up to 180 degrees (
Therefore, the supplement of the angle at the 3rd corner would simply be the sum of the measures of the other two, which would be
The complement is similar. We can easily see that the measure of the unmentioned angle is