how to construct a 135 and 105 degree angle with the help of a compass

For 105, first mark 60^o and 120^o on the arc drwn on one ray of the angle. Draw 90^o from this and bisect the angle between 90^o and 180^o. You will get 105^o. Refer the figure given below.

For 135^o, first construct angle 90^o with the help of compass and then bisect the angle between 90^o and 180^o. You will get 135^o. Refer the figure given below.

Hope it helps you.