<PRE><B>Question 244931</B>
sum of the angles of a triangle is 180 degrees.


one angle is x+3 degrees.


2 angles are 2x-2 degrees each.


sum of the angles of the triangle equals


x + 3 + 2 * (2x - 2) equals:


x + 3 + 4x - 4 equals:


5x - 1


this sum equals 180 degrees so:


5x - 1 = 180


add 1 to both sides to get 5x = 181


divide both sides by 5 to get x = 181/5 = 36.2 degrees


substitute in original equation to see if this is true.


x + 3 + 2 * (2x - 2) = 180 becomes:


36.2 + 3 + 2*(72.4-2) = 180 becomes:


36.2 + 3 + 2*70.4 = 180


simplify to get:


36.2 + 3 + 140.8 = 180


simplify further to getg:


180 = 180 which is true confirming that x = 36.2 is a good answer.


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