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
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
Rearranging to isolate C, we get 180 - x - ( x+ 8) = c
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.
This constraint creates an inequality:
c < 30
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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:
Answer by 303795(602)   (Show Source):
You can put this solution on YOUR website! 180 - x - ( x+ 8) = c and c<30
so therefore
180 - x - ( x+ 8)<30
180 - x - x - 8<30
172 - 2x < 30
172 - 30 < 2x
142 < 2x
71 < x
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