Draw a triangle with three lines of symmetry. Also write the measures of each of its angles

Answer

To solve the question of drawing a triangle with three lines of symmetry and determining the measures of each of its angles, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Triangle with Three Lines of Symmetry**:
- A triangle that has three lines of symmetry is an **equilateral triangle**. This means that all three sides are equal in length, and all three angles are equal in measure.

**Hint**: Remember that a line of symmetry divides a shape into two identical halves.

2. **Drawing the Equilateral Triangle**:
- Start by drawing a straight line segment. This will be one side of the triangle.
- Use a compass to measure the same length as the line segment you just drew. Place the compass point on one end of the line segment and draw an arc above and below the line.
- Without changing the compass width, place the compass point on the other end of the line segment and draw another arc that intersects the first two arcs.
- Label the intersection points of the arcs as the third vertex of the triangle.
- Connect the endpoints of the line segment to the new vertex to complete the triangle.

**Hint**: Ensure that all sides are equal in length while drawing the triangle.

3. **Measuring the Angles**:
- Since it is an equilateral triangle, all angles are equal. The sum of the angles in any triangle is always 180 degrees.
- To find the measure of each angle, divide the total angle sum by the number of angles:
\[ \text{Measure of each angle} = \frac{180^\circ}{3} = 60^\circ \]

**Hint**: Use the angle sum property of triangles to find the measure of each angle.

4. **Conclusion**:
- The triangle drawn is an equilateral triangle with three lines of symmetry.
- Each angle measures **60 degrees**.

### Final Answer:
- The triangle has three lines of symmetry and each angle measures **60 degrees**.