Code:
Private Declare Function SendMessage Lib "user32" Alias "SendMessageA" (ByVal hwnd As Long, ByVal wMsg As Long, ByVal wParam As Long, lParam As Any) As Long
Private Const EM_GETLINECOUNT = &HBA

Private Sub Command1_Click()
Dim lines As Long
lines = SendMessage(RichTextBox1.hwnd, EM_GETLINECOUNT, 0, 0)
End Sub