How to make 45 degree angle with compass

Asked by admin @ 25/08/2021 in Math viewed by 268 People

Construct 45 degree angle with using compass

Answered by admin @ 25/08/2021

1). Use ruler and draw a Line segment OB of any convenient length. (as shown below)

2). Now use compass and open it to any convenient radius. And with O as center , draw an arc which cuts line segment OB at X . (as shown below)

3). Again use compass and opened to the same radius (as of step 2). And with X as center , draw an arc which cuts first arc at D . (as shown below)

4). Again use compass and opened to the same radius (as of step 2). And with D as center , draw another arc which cuts first arc at C . (as shown below)

5). Again use compass and opened to the same radius (as of step 2). And With C & D as center , draw two arcs which cuts each other at E . (as shown below)

6). Join OE and extent it to A . (as shown below)

7). Above formed angle AOB = 90 Degree

Now, to construct at 45 degree angle, we will construct the angle bisector of above angle AOB. And its done in the following steps:

8). Again use compass and open it to any convenient radius. And with O as center , draw an arc which cuts line segment OB at P and OA at Q . (as shown below)

How to make 45 degree angle with compass

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