The problem involves finding the value of $m$ in a composite shape involving angles. Here is how we can solve it:

Step-by-Step Solution:

1. Identify the angles and setup equations:

   • The shape provided seems to be a quadrilateral with three known angles: $25^\circ$, $60^\circ$, and $50^\circ$.
   • We know that the sum of the interior angles of a quadrilateral is $360^\circ$.

2. Set up the equation for the unknown angle $m$:

   • Let the unknown angle be $m$.
   • Using the sum of the interior angles: $25^\circ + 60^\circ + 50^\circ + m = 360^\circ$

3. Solve for $m$: $m = 360^\circ - (25^\circ + 60^\circ + 50^\circ)$ $m = 360^\circ - 135^\circ$ $m = 225^\circ$

Conclusion:

The value of $m$ is 225 degrees.

If you need further explanation or have any questions, please let me know!

Related Questions:

1. What is the sum of the interior angles for a polygon with $n$ sides?
2. How would you find an unknown angle in a triangle?
3. What is the relationship between the exterior and interior angles of a polygon?
4. How do you calculate angles in a regular polygon?
5. What are the properties of a quadrilateral?

Tip: Always remember that the sum of the interior angles of a quadrilateral is $360^\circ$.