To make patterns of shapes using different number of angles / types of angles
Let us recall the types of angles.
Observe the angles formed at the vertex of the following shapes.
This is an equilateral triangle.
It has 3 angles formed at 3 vertices.
The 3 angles are equal in measure and they are equal to 60°.
It can be demonstrated as follows.
Finding the angle of a regular hexagon using the equilateral triangle
We shall find the angles of a regular hexagon using the equilateral triangle. Place the equilateral triangles in a regular hexagon as shown in the figure.
Angle at the centre of a regular hexagon is 360°.
This is also the angle of a circle.
Angle at each vertex of a regular hexagon is 120°
Finding the angle of a square
Angle of a circle is 360°
Let us find the angle of square using a circle.
Place 4 squares as shown in the above figure.
The shape formed at the centre is a circle. The angle of circle is 360°.
Now the angle of a square is 360° ÷ 4 = 90°.