SOLUTION: The measure of angle a is 143 degrees and angle a is supplementary to angle b. Angle c is complementary to angle B. What is the degree of angle C?
Algebra ->
Angles
-> SOLUTION: The measure of angle a is 143 degrees and angle a is supplementary to angle b. Angle c is complementary to angle B. What is the degree of angle C?
Log On
Question 948933: The measure of angle a is 143 degrees and angle a is supplementary to angle b. Angle c is complementary to angle B. What is the degree of angle C? Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! Sum of supplementary angles=180 degrees:
a+b=180 degrees
143 degrees + b=180 degrees Subtract 143 degrees from each side.
b=37 degrees
The sum of complementary angles is 90 degrees:
b+c=90 degrees
37 degrees + c =90 degrees Subtract 37 degrees from each side.
c=53 degrees ANSWER: The measure of angle c is 53 degrees.