No it's not possible at all.
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Impossible
Yes. Every triangle with an obtuse angle must have two acute angles.
Draw a triangle with one obtuse angle (more than 90 degrees), where none of the side lengths or angles are equal to each other.
Yes providing that the 2 acute angles are equal and that the 3 angles add up to 180 degrees.
A triangle can only have 1 right angle or 1 obtuse angle in it because its 3 interior angles add up to 180 degrees