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If the measure of angle FGK =5v-2 and the measure of angle KGH =3v+8, find x. FGK is the whole angle. GK bisects angle FGK.

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FGK = 5X - 2 = 2(3X - 8),
5X - 2 = 6X - 16,
5X - 6X = -16 + 2,
-X = -14,
X = 14.

CHECK:

5X - 2 = 5*14 - 2 = 68.

3X - 8 = 3*14 - 8 = 34.

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