If we bisect an angle of a square, we get two angles of measure

Options

A. less than `45 ^(@)`
B. `60^(@),30^(@)`
C. `45 ^(@),45 ^(@)`
D. `75^(@),15^(@)`

Answer

To solve the problem of finding the measure of the angles formed when we bisect an angle of a square, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Angles in a Square**:
A square has four angles, and each angle measures 90 degrees.

2. **Select an Angle to Bisect**:
We can choose any angle of the square to bisect. For this solution, let's consider angle ABC (where A, B, and C are the vertices of the square).

3. **Bisect the Angle**:
To bisect angle ABC, we need to divide the angle into two equal parts. Since angle ABC measures 90 degrees, we will divide it by 2.

4. **Calculate the Measure of Each Bisected Angle**:
\[ \text{Measure of each bisected angle} = \frac{90 \text{ degrees}}{2} = 45 \text{ degrees} \]

5. **Conclusion**:
When we bisect an angle of a square, we get two angles, each measuring 45 degrees.

### Final Answer:
When we bisect an angle of a square, we get two angles of measure **45 degrees** each.

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