For the attached question, if all three angles are given as 90-degree, that will de facto make x+y = 90 and if it does, provided the diagonal line goes from vertex to vertex, how is it that x=y is not the correct answer?
Sure, but how does this suggest x = y?
So far, all you know about the figure is that it is a quadrilateral with four equal angles (90 degrees), hence it is a rectangle. Not sure how you deduce x = y afterwards though.
Does it not imply an angle bisector? AFAIK, constructing a diagonal will inadvertently bisect the angles it cuts. What do you think I’m assuming here that I should not be?
No. Why do you think diagonals of a rectangle must be angle bisectors?
This is false, but i’m willing to listen to any justifications you might have for this
You’re right, that’s a mistake on my end. Thank you.