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

Answer:

55°

Step-by-step 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...

$x=55^{\circ}$