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