ANSWER FOR ANGLE PROPERTY 3 (ANGLES IN SAME SEGMENT)

Angles in Same Segment are Equal.
 
Note: As long as X and Y are on the same side of AB, the ratio Angle(AXB)/Angle(AYB) will always be equal to 1, i.e. the two angles (in the same segment) are equal. If X and Y are on opposite sides of AB, please refer to Property 4.
 
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