Respuesta :

Answer:

[tex]m = n[/tex] --> Corresponding angle

[tex]x = y[/tex] --> Vertically opposite

Step-by-step explanation:

Given

The attachment

Required

State the reason for the given statements

m = n

m and n are corresponding angles.

So:

[tex]m = n[/tex]

x = y

x and y are vertically opposite angles

So:

[tex]x = y[/tex]

[tex]y + n = x + m[/tex]

In (b)

[tex]x = y[/tex]

Add m to both sides

[tex]x + m = y +m[/tex]

In (a) [tex]m = n[/tex]

So, substitute n for m on the left hand side

[tex]x + n = y + m[/tex]