Answer: 1. False.
2.True.
3.True.
4.False.
5.True.
6.False.
Step-by-step explanation:
1.∠XFG is lying between the one side and the line extended to the next side of the triangle, therefore it is an exterior angle.
2.∠EFG is lying between the two sides of the ΔEFG, therefore it is an interior angle of the triangle.
3.∠FEZ is lying between the one side and the line extended to the other side of ΔEFG.
4.∠YGE is a straight line it is between the one side and the line extended to the same side ∴ it cannot be an exterior angle of the triangle.
5.∠EGF and FGY lying on the same line YZ ,∴they are linear pair i.e. they are supplementary angles.
6.∠FEG and ∠FGE are both the interior angles of a triangle and we know that for supplementary angles they should lie on the same line.Therefore ∠FEG and ∠FGE are not supplementary angles.