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Solve for x: (2x - 3)° (10x-17)°

Solve for x: (2x - 3)° (10x-17)°-example-1

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Answer:

  • x = 13

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Use the triangle in the middle.

It has interior angles 2x - 3 and a right angle. The exterior angle is 10x - 17.

We know the exterior angle of a triangle is same as the sum of the two remote interior angles.

Set up an equation and solve for x:

  • 2x - 3 + 90 = 10x - 17
  • 2x + 87 = 10x - 17
  • 10x - 2x = 87 + 17
  • 8x = 104
  • x = 104/8
  • x = 13

So the value of x is 13.

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User Mark Doyle
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