<PRE><B>Question 99903</B>
The Measure of the supplement of an angle is 12 more than four times the complement. Find the measure of the angle.
:
Let x = an angle
The supplement = (180-x
The complement = (90-x)
:
write what it says:
&quot;supplement of an angle is 12 more than four times the complement. 
 (180 - x) = 4(90 - x) + 12
 180 - x = 360 - 4x + 12
 180 - x = 372 - 4x
  4x - x = 372 - 180
  3x = 192
   x = 192/3
   x = 64 degrees is the angle
:
:
Check solution:
Supplement: 180 - 64 = 116
Complement: 90 - 64 = 26
:
Using the statement:
&quot;supplement of an angle is 12 more than four times the complement.&quot;
          116 = 4(26) + 12
          116 = 104 + 12, confirms our solution </PRE>