Solve for x and tell how you got it (have to write work! )

Let's look at the information given to us.

- The figure is a triangle

- One angle is 45 degrees

- The other two measure x and 2x

Now, what can we do with this information?

What is the sum of all the interior angles in a triangle? According to the angle sum theorem, it's 180 degrees.

Since you're given all interior angles in the triangle, you can write it out as:

x + 2x + 45 = 180

As x, 2x, and 45 are the interior angles.

Now, how can you solve this for x?

First, move all like terms to one side. In this case, move all numbers with x in it to one side, and all those without to the other, by doing the exact operation provided to both sides.

x + 2x + 45 - 45 = 180 - 45

x + 2x = 180 - 45

And now simplify.

3x = 135

/3     /3

x = 45

Therefore, your answer is x = 45.