document.write( "Question 67691: There are three angles in a triangle. lets call them A, B, C. One property of triangles is that the sum of the interior angles is always 180,. so our firs trelatonship is: A + B + C = 180\r
\n" ); document.write( "\n" ); document.write( "iN THE DIAGRAM, LETS SAY THAT ANGLE a HAS A VALUE OF X ANGLE \"B HAS A VALUE OF (X-8) AND ANGLE C is our unknown. So we can bow sustitute some value in our relationship. x + ( x + 8) + C =180\r
\n" ); document.write( "\n" ); document.write( "Rearranging to isolate C, we get 180 - x - ( x+ 8) = c\r
\n" ); document.write( "\n" ); document.write( "This equation doesn't put any limits on what C can be , but the problem does. It tells us that what ever value we use for X, the equation must work out so that C is no larger than 30.
\n" ); document.write( "This constraint creates an inequality:
\n" ); document.write( " c < 30
\n" ); document.write( " - \r
\n" ); document.write( "\n" ); document.write( "We now have two expressions for the same thing - the value of the angle C. We can set them equal to each other. So our final expression is: \n" ); document.write( "

Algebra.Com's Answer #48153 by 303795(602) $\"\"$ $\"About$

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180 - x - ( x+ 8) = c and c<30
\n" ); document.write( "so therefore
\n" ); document.write( "180 - x - ( x+ 8)<30
\n" ); document.write( "180 - x - x - 8<30
\n" ); document.write( "172 - 2x < 30
\n" ); document.write( "172 - 30 < 2x
\n" ); document.write( "142 < 2x
\n" ); document.write( "71 < x
\n" ); document.write( " \n" ); document.write( "

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