We know that this shape is impossible. The legs are too short to create a triangle.
b Here we can identify two lines cut by a transversal.
The two lines appears to be parallel. However, appearing to be parallel does not mean that they actually are. If they were parallel, they would be marked in the diagram with a couple of arrowheads. In that case, the given diagram would not be possible, as corresponding angles have the same measure if the two lines cut by a transversal are parallel.
However, since we do not have any markers telling us that the lines are parallel, the given diagram is definitely possible.
c By the Triangle Angle Sum Theorem we know that the sum of a triangle's angles equals 180^(∘). Therefore, if the given angles add to 180^(∘), we know that this triangle is possible.
59^(∘)+63^(∘)+57^(∘)=179^(∘)
Since the angles only add to 179^(∘), this diagram is impossible.
