In the diagram, which angles are vertical angles? check all that apply.
abe and abc
abe and cbd
abe and ebd
abc and ebd
abc and cbd

If two line crosses, then the vertical angles are the angles opposite each other. In this way, these angles share the same vertex. So, the vertical angles are always equal. Therefore, in this problem, the right answers are:

1. ABE and CBD

Notice that the vertex is B, so these two angles share the same vertex. Accordingly, these two angles are vertical angles.

2. ABC and EBD

The same reasoning is applied here. The vertex is also B. Notice that the angles CBD and ABD add up to 180 degrees.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.