Question

Does anyone know the answer to the question below

Answer 1

`x=55`°

Explanation:

The given figure shows three parallel lines with one traversal passing through them.

We can apply angle properties for angles formed by the traversal between the parallel lines.

Naming the supplementary angle of
`x`° as
`y`°

When a traversal passes through parallel lines then the angles formed at same positions of each parallel line are congruent.

Thus we can say that:

`y`°=125° [ as they are at same positions of traversal, so corresponding angles and hen congruent.]

So,

`x=180-y` [angle sum of supplementary angles =180°]

Substituting
`y=125`

`x=180-125`

∴
`x=55`° (Answer)