Question 216922
Find the measure of an angle if its measure is 18 degrees more than 3 times its supplement.


Step 1.  Let x be the angle.


Step 2.  Let 180-x be the supplement.


Step 3.  Let 3(180-x) be 3 times its supplement.


Step 4.  x=3(180-x)+18 since the measure of an angle if its measure is 18 degrees more than 3 times its supplement


Step 5.  Solving yields


{{{x=3(180-x)+18}}}


{{{x=540-3x+18}}}


{{{x=558-3x}}}


Add 3x to both sides of the equation.


{{{x+3x=558}}}


{{{4x=558}}}


Divide by 4 to both sides of the equation.


{{{4x/4=522/4}}}


{{{x=139.5}}}


{{{180-x=40.5}}}


Check...139.5=3*40.5+18=121.5+18=139.5...which is a true statement.


Step 6.  ANSWER:  The angle is 139.5 degrees


I hope the above steps and explanation were helpful. 


For Step-By-Step videos on Introduction to Algebra, 

please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and 

for Trigonmetry please visit 

http://www.FreedomUniversity.TV/courses/Trigonometry. 


Also, good luck in your studies and contact me at 

john@e-liteworks.com for your future math needs.


Respectfully, 
Dr J