SOLUTION: supplementary angles- If the measure of one angle is 3.5 times the measure of the other find the measure of each angle.

Algebra ->  Angles -> SOLUTION: supplementary angles- If the measure of one angle is 3.5 times the measure of the other find the measure of each angle.      Log On


   

Question 343337: supplementary angles- If the measure of one angle is 3.5 times the measure of the other find the measure of each angle.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
BY DEFINITION THE SUM OF SUPPLEMENTARY ANGLES IS 180 DEGREES!
S%5B1%5D%2BS%5B2%5D=180
THE QUESTION STATES THE FOLLOWING TO BE TRUE:
S%5B2%5D=+3.5%28S%5B1%5D%29
SUBSITUTE
S%5B1%5D%2B+3.5%28S%5B1%5D%29+=180
CONVERT DECIMAL TO SIMPLE FRACTION
3.5 = 3 1/2 = 7/2
S%5B1%5D%2B+%287%2F2%29%28S%5B1%5D%29+=180
SIMPLIFY: MULTIPLY EACH TERM IN THE EQUATION BY 2
2%28S%5B1%5D%29%2B+7%28S%5B1%5D%29+=360
COMBINE
9S%5B1%5D=360
SOLVE:
DIVIDE EACH SIDE OF THE EQUATION BY 9
S%5B1%5D=highlight%2840%29
S%5B2%5D=%287%2F2%29%2840%29
S%5B2%5D= highlight%28140%29
CHECK YOUR ANSWER!! 40 + 140 = 180