SOLUTION: The ratio of an angle to its supplement is 2:7. What is the ratio of the angle to its ratio to its complement? PLEASE HELP ME ON THIS... T.T

Algebra ->  Angles -> SOLUTION: The ratio of an angle to its supplement is 2:7. What is the ratio of the angle to its ratio to its complement? PLEASE HELP ME ON THIS... T.T      Log On


   

Question 657781: The ratio of an angle to its supplement is 2:7. What is the ratio of the angle to its ratio to its complement?
PLEASE HELP ME ON THIS... T.T
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the angle = +a+
It's supplement = +180+-+a+
given:
+a+%2F+%28+180-a+%29+=+2%2F7+
+7a+=+2%2A%28+180+-+a+%29+
+7a+=+360+-+2a+
+9a+=+360+
+a+=+40+
----------
+a+%2F+%28+90+-+a+%29+=+40+%2F+%28+90+-+40+%29+
+a+%2F+%28+90+-+a+%29+=+4%2F5+ answer