How to construct a 45 degree angle with compass and ruler?
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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
HOPE THIS WILL HELP UH
MARK AS BAINLIEST

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
HOPE THIS WILL HELP UH
MARK AS BAINLIEST
Answered by
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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