A triangle has two corners of angles #pi /6# and #(2pi)/3 #. What are the complement and supplement of the third corner?
1 Answer
Jun 14, 2016
compemeent
supplement
Explanation:
The sum of the 3 angles in a triangle is
#pi# To find the 3rd angle , subtract the sum of the 2 given angles from
#pi# 3rd angle
#=pi-(pi/6+(2pi)/3)=pi-(pi/6+(4pi)/6)# 3rd angle
#=pi-(5pi)/6=(6pi)/6-(5pi)/6=pi/6#
#"-----------------------------------------------------------"#
Complementary Angles are 2 angles whose sum is#pi/2# To find the Complement of a given angle subtract it from
#pi/2# Complement of
#pi/6=pi/2-pi/6=(3pi)/6-pi/6=(2pi)/6=pi/3#
#"--------------------------------------------------------------"# Supplementary Angles are 2 angles whose sum is
#pi# To find the Supplement of a given angle subtract it from
#pi# Supplement of
#pi/6=pi-pi/6=(6pi)/6-pi/6=(5pi)/6#