SOLUTION: Angles (10c-20) and (5c+12) are supplementary. What is the value of each variable?

Algebra ->  Angles -> SOLUTION: Angles (10c-20) and (5c+12) are supplementary. What is the value of each variable?      Log On


   

Question 557161: Angles (10c-20) and (5c+12) are supplementary. What is the value of each variable?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Supplementary means they add up to 180 degrees
+%28+10c+-+20+%29+%2B+%28+5c+%2B+12+%29+=+180+
+10c+-+20+%2B+5c+%2B+12+=+180+
+15c+-+8+=+180+
+15c+=+188+
+c+=+12.5333+
The 2 angles are:
+10c+-+20+=+125.333+-+20+
+10c+-+20+=+105.333+
and
+5c+%2B+12+=+62.666+%2B+12+
+5c+%2B+12+=+74.666+
The angles are 105 + 1/3
and 74 + 2/3
which add up to 180