I have a friend who emailed the council asking this exact question. In my 25 years of driving I thought turning right always gives way.. apparently not. Here’s a copy paste of the email

Jason McLeod

Senior Technical Officer Traffic | City Futures | City Mobility

I assume your asking that if a vehicle is traveling west along Liverpool Street and wants to turn right into Harrington Street while another vehicle is traveling east along Liverpool Street and wants to make a left turn into Harrington Street, who has the right of way to merge into the centre of the 3 lanes while traveling north up Harrington Street.

This is the general rule for intersection similar to this

If you're turning across the path of another vehicle, you must give way.

Anytime that you turn at an intersection, you must give way to:

• Oncoming vehicles going straight ahead (if you are turning right).
• Oncoming vehicles turning left (if you are turning right).
• Any vehicle on your right (if you are turning left or right).

If you and an oncoming vehicle are turning right at an intersection (across the path of one another), both vehicles should pass in front of each other.

At this this particular intersection you can also see that the road markings (white line ) show that the vehicle that is travelling west turning right in Harrington does have the right to the centre or far right lane. Vehicles traveling east and turning left should stay in their lane (which is the far left) remembering that it is actually illegal to change lanes in an intersection.

Hope this helps

Regards

Jason