කවකටුවෙන් ‌ඕනෑම කෝණයක් නිර්මාණය කරමු

Описание: Constructing any angle using a pair of compasses involves a series of steps that utilize the properties of circles and angles. Here's a general guide on how to construct any angle using a pair of compasses:

Constructing an Angle:
Draw a Ray:

Start by drawing a ray (a straight line with one endpoint) on a piece of paper. This will be one side of the angle.
Place the Compass on the Endpoint:

Place the pointed end of the compass on the endpoint of the ray.
Adjust the Compass:

Adjust the compass to an arbitrary width by using the adjustment mechanism. This will be the radius of the circle you are about to draw.
Draw an Arc:

With the compass set to the desired width, draw an arc that intersects the ray.
Place the Compass on the Intersection:

Without changing the width of the compass, place the pointed end on the intersection point where the arc and the ray meet.
Draw Another Arc:

Draw another arc that intersects the first arc.
Draw the Angle:

The point where the second arc intersects the ray will be the second endpoint of the angle. Connect the two endpoints to complete the angle.
Notes:
The process relies on the fact that an inscribed angle in a circle is half the measure of the intercepted arc.
The width of the compass remains constant throughout the construction.
This method allows you to construct any angle, not just common angles like 90 degrees or 45 degrees.
Example:
Let's say you want to construct a 60-degree angle:

Draw a ray (line segment with one endpoint).
Place the compass at the endpoint and adjust it to a certain width.
Draw an arc that intersects the ray.
Without changing the compass width, place the compass on the intersection point.
Draw another arc intersecting the first arc.
Connect the endpoints of the ray to the second intersection point to form a 60-degree angle.
Remember to keep the compass width constant throughout the construction. This method utilizes the geometric properties of circles and angles to achieve the desired angle construction.
Constructing a 120-Degree Angle:
Draw a Ray:

Start by drawing a ray (a straight line with one endpoint). This will be one side of the angle.
Place the Compass on the Endpoint:

Place the pointed end of the compass on the endpoint of the ray.
Adjust the Compass:

Adjust the compass to an arbitrary width by using the adjustment mechanism. This will be the radius of the circle you are about to draw.
Draw an Arc:

With the compass set to the desired width, draw an arc that intersects the ray.
Place the Compass on the Intersection:

Without changing the width of the compass, place the pointed end on the intersection point where the arc and the ray meet.
Draw Another Arc:

Draw another arc that intersects the first arc.
Place the Compass on the Second Intersection:

Without changing the compass width, place the pointed end on the second intersection point.
Draw a Third Arc:

Draw a third arc that intersects the previous arc.
Draw the 120-Degree Angle:

The point where the third arc intersects the ray will be the second endpoint of the angle. Connect the endpoints to complete the 120-degree angle.