SOLUTION: An angle exceeds its complement by 20 degrees, Find the angle

Algebra ->  Angles -> SOLUTION: An angle exceeds its complement by 20 degrees, Find the angle      Log On


   



Question 349645: An angle exceeds its complement by 20 degrees, Find the angle
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
BY DEFINITION THE SUM OF COMPLEMENTARY ANGLES IS 90 DEGREES!
C%5B1%5D%2BC%5B2%5D=90
PROBLEM STATES! C%5B2%5D IS %28C%5B1%5D%2B20%29
SUBSITUTE
C%5B1%5D%2B%28C%5B1%5D%2B20%29+=90
COMBINE
2C%5B1%5D%2B20+=90
SOLVE:
2C%5B1%5D+=+70
C%5B1%5D=+35
FIND C[2] = (*C[1]+ 20)!!!
C%5B2%5D=55
.
CHECK YOUR ANSWERS!! 35 + 55 = 90