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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.

Find the value of the variable in a triangle where the two given angles are 36° and 93°, and the unknown angle is denoted as m.

This problem demonstrates how to find the value of a missing angle in a triangle where two angles are provided (36° and 93°). By using the Triangle Angle Sum Theorem, we determine that the missing angle is 51°. Suitable for students in Grades 6-8.

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