Answer: a) The size of angle x is [tex]80^{\circ}[/tex].
b) A. Corresponding angles.
Step-by-step explanation:
Since AD is parallel to EH and CG is a transversal intersecting them at B and F, then [tex]\angle ABF = \angle EFG[/tex] ...(i)
[Pair of corresponding angles are equal lie on the same side of the transversal]
Here, [tex]\angle EFG =80^{\circ}[/tex] , [tex]\angle ABF = x[/tex]
then, [tex]x =80^{\circ}[/tex] [Substitute values in (i)]
Hence, the size of angle x is [tex]80^{\circ}[/tex].
Reason for this: Corresponding angles.
