Look at the figure. find the value of x.

x = 10 in

Step-by-step explanation:

As you can tell the base angles (two angles down below) are equal.

55° = 55°

If you see something like this, this triangle is considered  isosceles triangle.

Isosceles triangle have two sides equal.

One side is considered 10 in so the other must be 10 in too.

Another way to prove why x = 10 is because 55° corresponds to 10 in side. So the other 55° corresponds to x.