The sum of all interior angles of a square is

Question

Accepted Answer

The sum of all interior angles of a square is indeed 360°, which corresponds to Option 2. Here is a detailed explanation justifying why this is correct:

1. **Explanation for Option 2 (360°):**
   - A square is a type of polygon known as a quadrilateral, which has four sides.
   - The formula to calculate the sum of interior angles of any polygon is $(n - 2) \times 180°$, where $n$ is the number of sides.
   - For a square, $n = 4$. Plugging this into the formula gives us:
     $$
     (4 - 2) \times 180° = 2 \times 180° = 360°
     $$
   - Therefore, the sum of all interior angles of a square is 360°, confirming that Option 2 is correct.

2. **Explanation for why other options are incorrect:**

- **Option 1 (180°):**
     - This option is incorrect because 180° is the sum of the interior angles of a triangle, not a square. A square has four sides, and as calculated above, the sum of its interior angles is 360°, not 180°.

- **Option 3 (270°):**
     - This option is incorrect because 270° does not correspond to the sum of the interior angles of any standard polygon. Specifically, for a square, the sum is 360°, as derived from the formula for the sum of interior angles.

- **Option 4 (none of these):**
     - This option is incorrect because we have already established that the correct sum of the interior angles of a square is 360°, which matches Option 2. Therefore, "none of these" is not applicable.

In conclusion, the correct answer is Option 2, as the sum of all interior angles of a square is 360°.