CD= transversal
XY and ZW=parallel lines
angle1 and angle 3 :vertical angle
angle 1 and angle 7 :Alternate exterior angle
angle2 and angle 4 :same side interior angles
Explanation
in the diagram, linesa A and B are paralle, the line that intersect them is a transversal line, then
Step 1
CD
[tex]CD=\text{ transversal}[/tex]
Step 2
XY and ZW
those are:
[tex]\text{parallel lines}[/tex]
Step 3
[tex]\measuredangle1\text{ and }\measuredangle3[/tex]
Vertical Angles are the angles opposite each other when two lines cross
Step 4
now,
[tex]\measuredangle1\text{ and }\measuredangle7[/tex]
red angles are called
Alternate exterior angle
Step 5
finally
[tex]\measuredangle2\text{ and }\measuredangle4[/tex]
this kind of angles are called
same side interior angles
I hope this helps you
