This is a triangle problem where you need to find the value of the variable $m$ using the property of triangle angles.

In any triangle, the sum of the interior angles is always 180°. In this case, we are given two angles: $36^\circ$ and $93^\circ$. We can use this information to find $m$.

Formula:

$36^\circ + 93^\circ + m = 180^\circ$

Solution:

$m = 180^\circ - (36^\circ + 93^\circ)$ $m = 180^\circ - 129^\circ = 51^\circ$

Thus, the value of $m$ is $51^\circ$.

Would you like more details or have any questions? Here are 5 related questions to expand your understanding:

1. What is the general rule for the sum of angles in any polygon?
2. How can you find the exterior angle of a triangle given two interior angles?
3. What happens to the sum of interior angles as the number of sides in a polygon increases?
4. How do you classify triangles based on their angle measures (e.g., acute, right, obtuse)?
5. Can a triangle have more than one obtuse angle? Why or why not?

Tip: Always check that the sum of angles in a triangle equals 180° to verify your calculations.