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<p>Just saw this emailed problem and accompanying thread, etc. I am
in Bob's corner to the extent that the problem is not simple. Not
enough information is given in the problem and assumptions must be
made where different assumptions can be correct!</p>
<p>Is the object planar or are we seeing a 3D projection of it. If
the latter, are we viewing it where one side is planar from our
vantage? If the right side is planar to us, then the answer is 30
degrees from the law of sum of angles in a triangle and the angle
at the bisection of the vertical line and horizontal line <u>appears</u> to
be 90 degrees. (From the Pythagorean Theorem {a squared + b
squared = c squared}, the ratio of the sides is 1:square root of
3:2 for opposite sides of a 30:60:90 degree triangle. I'll never
forget this ratio and formula from high school <i>ad nauseam).</i> If
we're seeing the left triangle as a planar projection of a 3D
object, the angle of the left triangle at the vertical/horizontal
bisection must be 80 degrees for the given isosceles triangle.
This leaves the angle on the other side of this bisection open to
question. Naively, one would assume it to be 100 degrees, if one
assumes the "horizontal" line to be straight, and x to therefore
be 20 degrees. However, one can't assume the bottom line to be
horizontal if the object is a projection, and from the information
given we can't determine angle at the vertical/horizontal
bisection for the triangle on the right side of the projection.</p>
<p>Thus, I think the problem is unsolvable from the information
given, and I'm not surprised that AI is confused and gave
conflicting results. I agree with Olga: be cognizant to what AI is
doing and don't summarily assume it is giving correct answers to
your queries and conversations.</p>
<p>-Dick</p>
<div class="moz-cite-prefix">On 2/21/2026 3:24 AM, Robert Primak via
LCTG wrote:<br>
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