Question

41)Construct an angle of 30 degree by bisecting 60 degree using compass and ruler. Write the steps for the same.

Answer 1

Answer:

Steps of construction:

1. Draw a ray AB.
2. With A as the centre and AS as the radius, draw an arc.
3. With the same radius and S as the centre, cut an arc SP to intersect the previous arc at P.
4. Join AP and extend the ray. ∠DAB = 60 °
5. Now, draw the perpendicular bisector of arc SP by opening the compass more than half of the length of the arc. Taking S as the centre, draw an arc. Similarly, taking P as the centre draw an arc with the same radius.
6. Mark the point of intersection of the two arcs as Q.
7. Join AQ and extend the ray.
8. ∠CAB = 30° is the required angle.

P.F.A the construction:

Hope you got that.

Thank You.