how to construct an angle of 105 and an angle of 135 ???

By following this procedure, we can get what is 105 degree angle.

Step 1: First make the reference line.

Step 2: place the needle of the compass on the point O at which the angle to be made.

Step 3: Draw an arc with simple semi circle by taking some radius such that it intersects the reference line at point D.

Step 4: Now place the compass needle at the point D and draw arc on semicircle at point E without changing radius.

Step 5: Again draw the arc on same semi circle at centre of point E by without changing radius that intersect the point F.

Step 6: Now we get point D, E and F with centre at O. Point E and point F correspond to angle 60 degree and 120 degree respectively.

Step 7: Now change the radius in compass, and draw two arcs from point E and F such that they intersect each other at point (B).

Step 8: Join the point O and B. This line gives 90 degree angle ie is angle BOA = 90 degree.

Step 9: Let this line BO intersects semicircular arc at point G.

Step 10: From point G draw an arc and without changing the radius draw another arc from point F such that they intersect each other at point C.

Step 11: Join the point O and C.

Step 12: The line OC which makes an angle of 105 degree with the reference line OA.

These are all the procedure to draw an angle of 105 degree