This is why they pay you the big bucks,,,, its all about the math.Do the math; If you had a straight on open end wrench then you would have to swing the handle at least 60* to be able to get on the next flat. (hex nut, 6 sides, 360/6=60*) So on most combo wrenches the open end is off set 30* so you can turn the nut 30* and flip the wrench and do another 30* on the same flat. The "funny angle" on your wrench allows you to use the other end to get down to 15* swing increments.
Those are called obstruction wrenches, 4 way wrenches, etc. Like stated above, good for things like fittings in confined spaces. The Snap On 4 way wrenches are the gold standard, but Tekton has a set out that they're trying to compete with at a far lower price point.
Snap on is quite safe from the competition. I bought the Tekton sets and the first time I handled them I got a nice deep cut from the chrome plating.

Why the funny angle on the right side of this wrench? I've done lots of wrenching and run into my share of tight spots. What can this angle do that the left side couldn't?
Open-ended spanner jaws are rotated by about 15 degrees from the handle, not 30. That gives you a 30 degree difference when you flip the spanner. That allows operation with limited room to swing the spanner as you say. But if you wanted to improve that at the other end, you’d rotate the jaws by only 7.5 degrees, not 75 degrees or whatever these spanners have. So clearly the large angle of rotation has another purpose.If you had a straight on open end wrench then you would have to swing the handle at least 60* to be able to get on the next flat. (hex nut, 6 sides, 360/6=60*) So on most combo wrenches the open end is off set 30* so you can turn the nut 30* and flip the wrench and do another 30* on the same flat. The "funny angle" on your wrench allows you to use the other end to get down to 15* swing increments.
Why the funny angle on the right side of this wrench? I've done lots of wrenching and run into my share of tight spots. What can this angle do that the left side couldn't?
Open-ended spanner jaws are rotated by about 15 degrees from the handle, not 30. That gives you a 30 degree difference when you flip the spanner. That allows operation with limited room to swing the spanner as you say. But if you wanted to improve that at the other end, you’d rotate the jaws by only 7.5 degrees, not 75 degrees or whatever these spanners have. So clearly the large angle of rotation has another purpose.
Snap on is quite safe from the competition. I bought the Tekton sets and the first time I handled them I got a nice deep cut from the chrome plating.