pandaf1sh321
pandaf1sh321 pandaf1sh321
  • 11-03-2018
  • Mathematics
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The value of x is
PLEASE ANSWER FAST IM IN THE MIDDLE OF A TEST

The value of x is PLEASE ANSWER FAST IM IN THE MIDDLE OF A TEST class=

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AlpenGlow
AlpenGlow AlpenGlow
  • 11-03-2018
The value of the exterior angle next to a triangle is equal to the sum of two angles of the triangle, opposite of the interior angle. In this case: Angle QRT is equal to the sum of angle RTS and angle RST. So if we put that into an equation it will look like this:

9x = 5x + (9 + x)
Now we can solve for x. 
9x = 5x + 9 + x
9x = 6x + 9          (Combine like terms)
9x - 6x = 9            (transpose)
3x = 9
3x/3 = 9/3

x = 3
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