Lines l, m, and n are perpendicular bisectors of \triangle P Q R and meet at T. If T Q = 2 x, P T = 3 y - 1, T Q = 2 x, and T R = 8, find z.
Choices:
A:3
B:4
C:5
D:6
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: Lines l, m, and n are perpendicular bisectors of \triangle P Q R and meet at T. If T Q = 2 x, P T = 3 y - 1, T Q = 2 x, and T R = 8, find z.
Choices:
A:3
B:4
C:5
D:6
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Lines l, m, and n are perpendicular bisectors of \triangle P Q R and meet at T. If T Q = 2 x, P T = 3 y - 1, T Q = 2 x, and T R = 8, find z.
Choices:
A:3
B:4
C:5
D:6