<PRE><B>Question 343038</B>

BY DEFINITION THE SUM OF COMPLEMENTARY ANGLES IS 90 DEGREES!
{{{C[1]+C[2]=90}}} 
PROBLEM STATES! {{{C[2]}}} IS {{{4*C[1]-40}}}
SUBSITUTE
{{{C[1]+(4*C[1]-40) =90}}}
COMBINE
{{{5C[1]-40 =90}}}
SOLVE:
ADD 40 TO EACH SIDE OF EQUATION
{{{5C[1] =130}}}
DIVIDE EACH SIDE OF THE EQUATION BY 5
{{{C[1]=26}}}
FIND C[2] = (4*C[1]-40)!!!
{{{C[2]=64}}} 
CHECK YOUR ANSWERS!! 26+64 = 90</PRE>