SOLUTION: Is it possible to construct an isosceles triangle with two side lengths of 4 cm and an apex angle of measure 102 degrees and if so why?

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Question 1030321: Is it possible to construct an isosceles triangle with two side lengths of 4 cm and an apex angle of measure 102 degrees and if so why?
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
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Is it possible to construct an isosceles triangle with two side lengths of 4 cm and an apex angle of measure 102 degrees and if so why?
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Yes, it is possible.

Moreover, it is possible to construct an isosceles triangle with two congruent sides of any side length and
any measure of an apex angle positive and less than 180 degrees.

It is so obvious . . . that I never think about "why".

Why not?

It does not contradict any axiom of geometry and any property of a triangle.