Question

How do we draw an angle of?

Answer 1

An angle of measure can be made by following the given steps of construction:

1) Draw a line segment AB of any length.

2) Take radius more than half the length of AB and mark arcs on the upper side of AB by taking A and B as the centres. Name the point of intersection as C.

3) Join CD, where D is the point on AB such that ∠CDB = 90°.

4) Mark points L and K on CD and DB respectively such that LD = DK. Join LK.

5) Taking D as the centre and LD as the radius, draw an arc on LK passing through both L and K.

6) Taking L and K as the centres and radius more than half of LK, draw arcs cutting each other at point E.

7) Join DE. DE is the bisector of ∠CDB, therefore, ∠EDB = 45°.

8) Similarly, by taking M and K as the centre, draw the bisector of ∠EDB.

∠FDB so formed is an angle of measure