Angle C is an inscribed angle of circle P. Angle C measure (17x-2) and arc AB measure (20x+10). Find X

Mathematics · Middle School · Tue Nov 03 2020

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Given:

Angle C is an inscribed angle of circle P. Angle C measure (17x-2) and arc AB measure (20x+10).

Determine x.

Solution:

We can find the value of x by equating the two solutions in one equation.

17x -2 = 20x + 10

Transpose 17x and 10 on their opposite sides, hence we must take note that in transposing a number, the sign changes.

  • -10 - 2 =20x - 17x
  • -12 = 3x 
  • Divide 3 on both sides of the equation in order to determine the value of x.
  • x = -4
  •  
  • Final answer:
  • x = -4

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