please guide me that how to make an angle of 45°
Answers
Construct a perpendicular line.Place compass on intersection point.Adjust compass width to reach start point.Draw an arc that intersects perpendicular line.Place ruler on start point and where arc intersects perpendicular line.Draw 45 Degree Line.
Answer:
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To construct 45 degree angle, first we draw 90 degree angle and its done in the following steps:
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 cuts line 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). now 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)
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. (as shown below)
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 (as shown below)