This image presents a convex polygon with three known angles: 50°, 60°, and 110°. The goal is to find the unknown angle, labeled as v.

To solve for v, we can use the fact that the sum of the interior angles of any polygon is given by:

$\text{Sum of interior angles} = (n - 2) \times 180^\circ$ where n is the number of sides of the polygon.

Since the shape appears to be a quadrilateral (4 sides), we can use the formula for the sum of the interior angles for a quadrilateral:

$\text{Sum of interior angles} = (4 - 2) \times 180^\circ = 360^\circ$

Now, add the known angles:

$50^\circ + 60^\circ + 110^\circ = 220^\circ$

Subtract the sum from 360° to find the value of v:

$360^\circ - 220^\circ = 140^\circ$

Thus, v = 140°.

Would you like more details or have any questions on this solution?

Here are five related questions you might find interesting:

1. How can we find the exterior angles of polygons?
2. What happens if the polygon is concave rather than convex?
3. How do we calculate the sum of interior angles of polygons with more than four sides?
4. How would we approach finding the unknown angle in a triangle?
5. What is the relationship between interior and exterior angles in any polygon?

Tip: Always remember that the sum of interior angles depends on the number of sides of the polygon—use the formula $(n - 2) \times 180^\circ$ for any polygon.