A triangle has two corners of angles pi /12π12 and (7pi)/8 7π8. What are the complement and supplement of the third corner?
2 Answers
Explanation:
"the third angle of the triangle is"the third angle of the triangle is
pi-(pi/12+(7pi)/8)=pi-(23pi)/24=pi/24π−(π12+7π8)=π−23π24=π24
• " complementary angles sum to "pi/2∙ complementary angles sum to π2
"complement of "pi/24=pi/2-pi/24=(12pi)/24-pi/24=(11pi)/24complement of π24=π2−π24=12π24−π24=11π24
• " supplementary angles sum to "pi∙ supplementary angles sum to π
"supplement of "pi/24=pi-pi/24=(23pi)/24supplement of π24=π−π24=23π24
Complementary angle is
Supplementary angle is
Explanation:
All angles sum to
Third angle is:
An angle and its complement add up to
An angle and its supplement add up to
Complementary angle is
Supplementary angle is