How to Construct a 105 Degrees Angle

Q. How to construct a 105 degrees angle?

Ans:– The steps for drawing the 105 degrees angle have been outlined in the following.

Step 1: Using a ruler, one must first draw a ray and name one end of the ray as A and the other end as B

Step 2: Now the end A of the ray can be considered as a center and taking the radius of any width an arc should be drawn cutting the line AB at C. 

Step 3: Next, point C should be considered as a center, and taking the same radius as before an arc should be cut on the previous arc and should be named D. 

Step 4: Again considering D as the center, another arc should be cut on the first arc, and the point of intersection should be named G.

Step 5: Now taking G and D as centers respectively two arcs should be drawn taking the same radius as before which cut each other at F

Step 6: Now if AF is joined, it makes 90 degrees with AB.

Steps 7: Now the point at which the first semicircular arc cuts the line AF should be marked in the form of E.

Step 8: After this considering E and G as the centre two arcs should be drawn with the same radius as before and the point at which they cut each other is called H.

Step 9: Lastly, joining H and A we obtain the angle ∠HAB = 105°