What angle would you get if you bisect an angle of an equilateral triangle ?

Options

A. `60^(@)`
B. `30^(@)`
C. `90^(@)`
D. `45 ^(@)`

Answer

To find the angle obtained by bisecting an angle of an equilateral triangle, follow these steps:

### Step-by-Step Solution:

1. **Understand the Properties of an Equilateral Triangle**:
- An equilateral triangle has all three sides equal and all three angles equal.
- Each angle in an equilateral triangle measures 60 degrees.

2. **Identify the Angle to Bisect**:
- Choose one of the angles to bisect. For example, let's bisect angle ABC.

3. **Bisect the Angle**:
- To bisect angle ABC, you will divide it into two equal parts. Since angle ABC is 60 degrees, when you bisect it, you will create two angles.

4. **Calculate the Measure of Each Bisected Angle**:
- Since the original angle ABC is 60 degrees, when you bisect it, each of the two new angles will measure:
\[ \text{New Angle} = \frac{60 \text{ degrees}}{2} = 30 \text{ degrees} \]

5. **Conclusion**:
- Therefore, when you bisect an angle of an equilateral triangle, you get two angles of 30 degrees each.

### Final Answer:
When you bisect an angle of an equilateral triangle, you get an angle of 30 degrees.

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