Making Deductions 2

In the making deductions video, Greg says that if a and b = 45 degrees, then the absolute value of x must equal the absolute value of y. Can someone please remind me where this rule comes from? I imagine it’s coordinate geometry but I’m looking to refresh this concept. Thank you!

Just imagine you plot x = y points in a graph and then connect the points to form a line.

(1,1), (2,2), (3,3), (4,4),…

The angle this line will make with the x axis will be 45 degree. The same will be the case for |x|=|y|.

This is what greg refers to in the solution, I don’t think this can be a considered a rule.

I think there is an error in the solution. |y| is actually smaller than |x|. So a + b must be greater than 90.