Bisected angles means that the original angle (<XYZ in this case) has been cut exactly in half. The two parts that were created from <XYZ are equal so you need only solve for x, solve one of the halves and then double it.
Equation
3x - 7 = 2x + 1
Solution
3x - 7 = 2x + 1 Add 7 to both sides
3x - 7+7 = 2x +1+7 Combine
3x = 2x + 8 Subtract 2x
3x-2x = 2x-2x + 8 Collect like terms on both sides
x = 8
Solution 2
Find one of the bisected parts. You can choose either of the two parts so use 2x + 1
