Mathematics
Noodlearms:

Solve for x.

Noodlearms:

Vocaloid:

Sum of interior angles of a polygon is (n-2)*180 Where n is the # of sides. You have a six sided figure, so n = 6. Plug that in to determine what the sum should be. Now, add up the angles + x, set the sum equal to whatever number you calculated earlier, solve for x

Noodlearms:

So add all the numbers up and then add six to the result.

Vocaloid:

No, thatâ€™s not quite right Use the formula (n-2)*180, plug in n = 6 to get the sum of angles Then set (angles + x) = sum of angles and solve for x

Noodlearms:

I still don't quite understand, I'm sorry.

Vocaloid:

Just start with this step: If n = 6, what does (n-2)*180 = ?

Noodlearms:

720?

Vocaloid:

Good, so you know all the angles must add up to 720 degrees Now add up all the angles of the shape: 108 + 113 + 132 + 75 + 160 + x = 720 Solve for x

Noodlearms:

sooo 666?

Vocaloid:

666? I got something different 108 + 113 + 132 + 75 + 160 = 588 So 588 + x = 720 Subtracting 588 from both sides gives x = 132

Noodlearms:

Ohh, I have no clue why I got 666, but thank you, I suppose I was doing it wrong.