To find the value of \( x \) in the described figure, we can use the fact that the sum of angles at a point is \( 360^\circ \). Let’s break down the angles you provided:
- The angle at the right corner is \( 35^\circ \).
- The angle at the left corner is \( 40^\circ \).
- The angle at the top of the triangle is \( y \).
- The corner \( x \) is between the top (where \( y \) is) and the line that continues past the top.
Considering that the angles around the point where \( x \) is located must sum to \( 360^\circ \):
\[ x + 35^\circ + 40^\circ + y = 360^\circ. \]
Now, let's simplify this equation to express \( x \):
\[ x = 360^\circ - (35^\circ + 40^\circ + y), \] \[ x = 360^\circ - (75^\circ + y), \] \[ x = 285^\circ - y. \]
In order to find the precise value of \( x \), you will need the value of \( y \). If you have any further information about \( y \), please provide it, and we can find \( x \) explicitly. If \( y \) itself is also unknown, then we can only express \( x \) in terms of \( y \) as \( 285^\circ - y \).