SOLUTION: What is the measure of an angle if 40 less than 4 times the measure of its complement

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Question 343038: What is the measure of an angle if 40 less than 4 times the measure of its complement
Found 2 solutions by rfer, ewatrrr:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x+4x-40=90
5x=130
x=26 degrees
4x-40=64 degrees

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 4%2AC%5B1%5D-40
SUBSITUTE
C%5B1%5D%2B%284%2AC%5B1%5D-40%29+=90
COMBINE
5C%5B1%5D-40+=90
SOLVE:
ADD 40 TO EACH SIDE OF EQUATION
5C%5B1%5D+=130
DIVIDE EACH SIDE OF THE EQUATION BY 5
C%5B1%5D=26
FIND C[2] = (4*C[1]-40)!!!
C%5B2%5D=64
CHECK YOUR ANSWERS!! 26+64 = 90