Question

In this question, you must solve for x.

Answer 1

the answer is 55 all you have to do is subtract 125 from 180

Answer 2

55°

Explanation:

Let's start by finding "y" (see diagram attached).

Using the given diagram, we can conclude that the angle measuring 125° and angle y are a linear pair or supplementary. This means that they add up to 180°.

We can use this information to set up an equation:

`125^(\circ)+y=180^(\circ)`

Subtract 125° from both sides:

`y=55^(\circ)`

The diagram displays two parallel lines cut by a transversal.

Therefore "x" and "y" are corresponding angles.

The corresponding angle theorem states that if the two lines being cut by a transversal are parallel, then corresponding angles must be congruent/equivalent.

Using this theorem we can set up an equation...

`y=x`

Therefore...

`x=55^(\circ)`