Please see the attachment. From the picture, can we ever assume that x = 1/2y as if the triangle is inscribed in the circle and point D is the "center" of the triangle, and, possibly, of that "imaginary" circle. Or in other words, when dealing with the angles (such as in the example provided) can we ever assume that triangle is circumscribable and draw inferences based on that? Would your answer be the same if we were told that point D is the "center" of the triangle...?
This question was inspired by the OG12
DS 140. I wondering about different possibilities regarding the situation.
Share your thoughts please.
Triangle.png [ 22.5 KiB | Viewed 945 times ]
There are times when I do not mind kudos...I do enjoy giving some for help