Question

Angle efb is 80 what is the the size of angle x

Answer 1

Answer: a) The size of angle x is
`80^(\circ)`.

b) A. Corresponding angles.

Explanation:

Since AD is parallel to EH and CG is a transversal intersecting them at B and F, then
`\angle ABF = \angle EFG` ...(i)

[Pair of corresponding angles are equal lie on the same side of the transversal]

Here,
`\angle EFG =80^(\circ)` ,
`\angle ABF = x`

then,
`x =80^(\circ)` [Substitute values in (i)]

Hence, the size of angle x is
`80^(\circ)`.

Reason for this: Corresponding angles.