Question

A 23-newton force acting at 60° above the horizontal and a second 23-newton
force acting at 120° above the horizontal act concurrently on a point. What is the
magnitude and direction of a third force that produces equilibrium?

Answer 1

Sorry for my poor drawing but I am on a touch pad.
net force of x forces = First force on x + second force on x + balanceforce(unknown) = 0
net force on y forces = First force on y + second force on y + balanceforce(unknown) = 0

Then you can find what so ever you need :)