Question

in intermediate exam how to divide an angle of 110 degree into 4 equal parts

Answer 1

Solution :-

Steps of dividing an angle of 110 degree into four equal parts -

1) Firstly draw an angle of 110 degree with the help of a 'D'

2) Now with your compass scribe an arc at any radius and bisect both the sides of the 110 degree angle.

3) With the same radius of your compass, now scribe an arc from each of the intersection that you created with the previous step.

4) You have to intersect each of these arcs to form a cross. Now draw a line from the start of your 110 degree angle to the intersection of these arcs.

5) Now your 110 degree angle is divided into two equal parts. To divide the 110 degree angle into four equal parts, you have to simply repeat the process.

6) With your compass, scribe two arcs which bisect the sides of the lines which makeup the newly divided angle. 

7) With the same radius in your compass scribe two intersecting arcs from these bisection points (the small arcs which you just formed on the sides of the newly divided angle).

8) Now draw a line from the base of the 110 degree angle to the intersection of these arcs.

9) now repeat this process again for the other side of the angle and you will have your 110 degree angle divided into four equal parts.