Hi guest!
So first of all, we know that the blank angle of the triangle is \(180-(w+47)^{\circ}\)since, it's a straight line.
We also know that 3 angles of a triangle sum to \(180^{\circ}\)(triangle theorem).
So, we know \(w+w+13+180-w-47=180\)
If we combine like terms and simplify, we get:
\(w+146=180\)
\(\boxed{w=34^\circ}\)
We can check this too: 34+(34+13)+180-34-47=180
I hope this helped you, guest!
:)