Question

105°,Construct the given angle using ruler and compasses.Write the steps of construction in each case.

Answer 1

Hey there!

Pre thinking or Working with question :
We will construct 90 and 120 , and the bisector of them is 105° , So Drawing angular bisector would do the job.


Steps of construction :

1) Draw a ray BC with some length as per your convenience.

2) Now, Set the compass to have some radius less than or equal to the half of the length of BC.

3) Draw an arc from B, and The point which falls on the ray BC, Mark it as D


4) From the point D, with the same radius ( = BD ) draw an arc to cut the previous arc. Mark this point as E.

5) From E, With the same radius ( = BD ) draw an arc to cut the previous arc . Mark the arc to be F


6) Now, Draw arcs from E, F with same radius ( Radius can be anything as per your convenience) and Mark the point of intersection as G.

7) Finally, Draw an arc from F & repeat the same from G ( Both radius meant to be same) .

8) Mark this point as H. Draw a ray passing through H from B, and Mark it as A

9) So, Finally we had created a angle ∠ABC=105°

10) Here, If you draw rays to meet E, G , F from B, They make angles 60° , 90° , 120° with BC ray.

Hope helped