Question 5
A thin plastic triangle that is lying on a flat surface may be flipped over any of its edges repeatedly. Whenever its new position shares an interior point with its initial position after several flips, the two triangles must coincide perfectly.
If triangles with equal angles are viewed as the same triangle, find the angles of all possible triangles with this property.
(Note: The number of correct answers minus the number of incorrect answers is the net correct answer, $3$ marks for each net correct answer. Finding all correct answers without any incorrect answer gives $40$ marks.)
If triangles with equal angles are viewed as the same triangle, find the angles of all possible triangles with this property.
(Note: The number of correct answers minus the number of incorrect answers is the net correct answer, $3$ marks for each net correct answer. Finding all correct answers without any incorrect answer gives $40$ marks.)