The image contains a question about a polygon, which appears to be a triangle. The question asks for the sum of the interior angles of the polygon, with the following options:

• A. $45^\circ$
• B. $90^\circ$
• C. $180^\circ$
• D. $360^\circ$

Solution:

The sum of the interior angles of a polygon is determined by the formula: $\text{Sum of interior angles} = 180^\circ \times (n - 2),$ where $n$ is the number of sides of the polygon.

For a triangle ($n = 3$): $\text{Sum of interior angles} = 180^\circ \times (3 - 2) = 180^\circ.$

Final Answer:

The correct option is C. $180^\circ$.

Would you like a more detailed explanation, or do you have further questions?

Related Questions:

1. How do you calculate the sum of interior angles for polygons with more than 4 sides?
2. What is the sum of the exterior angles of any polygon, and why is it constant?
3. Can you find the measure of each angle in a regular triangle?
4. How does the interior angle formula change for concave polygons?
5. What is the relationship between interior and exterior angles in polygons?

Tip:

For any polygon, the sum of the exterior angles is always $360^\circ$, regardless of the number of sides!