Question

using the ruler and compass construct angle xyz = 105 dgree

Answer 1

first of all we need to know that 105 is a combination of angles, 60°and45°
draw yz a line of any measure
at y, draw a semicircle.
keeping pointer at the right side of semicircle without changing measure, cut an arc.
and thats ur 60°
now we need to construct 45°
we all know that it is the half of 90
so keeping pointer at 60, cut an arc on the semicircle, remember not to change the measure.
now keeping pointer at that arc, cut another arc
keeping pointer at the two new lately contructed arc and bisect it. u'll get 90°.
now bisect that 90 and u'll get 45
so 45 + 60 together u'll get 105°

Answer 2

first of all we need to know that 105 is a combination of angles, 60°and45°

draw yz a line of any measure

at y, draw a semicircle.

keeping pointer at the right side of semicircle without changing measure, cut an arc.

and thats ur 60°

now we need to construct 45°

we all know that it is the half of 90

so keeping pointer at 60, cut an arc on the semicircle, remember not to change the measure.

now keeping pointer at that arc, cut another arc

keeping pointer at the two new lately contructed arc and bisect it. u'll get 90°.

now bisect that 90 and u'll get 45

so 45 + 60 together u'll get 105°

Hope the answer is helpful !!

Good Day !!