What is the method to construct a 135-degree angle?

To construct a 135-degree angle, first create a 90-degree angle, then bisect a 45-degree angle.

To begin, draw a straight line using a ruler. This will be your baseline. Next, use a protractor to measure and mark a 90-degree angle from the baseline. Draw a line from the vertex through this mark to create a right angle. Now, you need to create a 45-degree angle. Place the protractor on the vertex of the 90-degree angle and mark 45 degrees on one of the arms of the right angle. Draw a line from the vertex through this 45-degree mark. This line bisects the 90-degree angle into two 45-degree angles.

Finally, to get a 135-degree angle, you need to add the 90-degree angle to one of the 45-degree angles. Place the protractor on the vertex of the original 90-degree angle and measure 135 degrees from the baseline. Mark this point and draw a line from the vertex through this mark. This new line forms a 135-degree angle with the baseline.

By following these steps, you can accurately construct a 135-degree angle using basic geometric tools like a ruler and a protractor. This method ensures precision and helps you understand the relationship between different angles.