A stubborn angle is typically referred to as an "obtuse angle." In geometry, an obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. These angles are known for being wider and less sharp than acute angles (less than 90 degrees) or right angles (exactly 90 degrees).
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A reflex angle.
an obtuse angle
An obtuse angle
Obtuse
You call a person stubborn.
Stubborn
not at all they get really annoyed
A stubborn jerk.
Stubborn!
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You could call a snowman who refuses to melt a "resilient snowman" or a "stubborn snowman."
A reflex angle.
Straight angle
A straight angle
Right Angle.
Interior angle