Math, asked by rahulparmarn5505, 1 year ago

How to construct a 45 degree angle with compass and ruler?

Answers

Answered by ipallavi22
8
1). Use ruler and draw a Line segment OB of any convenient length.
 

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

 

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 .

 

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 .

 

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 .

 

6). Join OE and extent it to A .

 

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 cutsline segment OB at P and OA at Q .

 

9) Again use compass and opened to same radius (as of step 8).And with P & Q as center and, draw two arcs which cuts each other at point F.

 

10) Join OF and extend to E.

 

11) EO is the bisector of Angle AOB 
Therefore, Angle AOE = Angle EOB = ½ of Angle AOB = 45 Degree each


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Answered by duragpalsingh
10

Hey there!

Answer:

Construction.

Step-by-step explanation:

Steps of Construction:

i) Draw a line AB of adequate length.

ii) Draw an arc that cuts the line AB at point P.

iii) Taking P as centre draw an arc which cuts at Q.

iv) Taking Q as centre draw an arc which cuts at R.

v) From Q and R points cut an arc  cutting at point X and draw a line perpendicular to AB.

vi) From point Q and X draw arcs cutting at point C. Join the points A and C.

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