I/Steps of construction
(i) Draw a ray AB at the point A.
(ii) Taking A as centre and a convenient radius, draw an arc which intersect AB at C.
(iii) Taking C as centre and with the same radius, draw an arc which intersect the previous arc at D.
(iv) Taking C and D as centre, draw arcs with equal radius( more than half of CD), which intersect at E.
(v)Draw the ray AE ∠EAD is the required angle of 30°.

II/Steps of construction.
(i) Draw a ray AB at the point A.
(II) Taking A as centre and a convenient radius, draw an arc which intersect AB at C.
(iii) Taking C as center and with the same radius, Draw an arc which intersent the previous arc at M.
(iv) Similarly, taking M as centre and with the same radius, draw an arc which intersect at N.
(v) Taking M and N as centre, draw arcs with equal radius (more than half of MN), which intersect at P.
(vi) Draw a ray AP which intersects the main arc at D.
(vii) Taking C and D as centre, draw arcs with equal radius (more than half of CD), which intersect at G.
(viii) Draw a ray AG which intersects the main arc at E.
(iX) Taking C and E as centre, draw arcs with equal radius (more than half of CE), which intersect at F.
(x) draw an arc AF. ∠FAB is the required angle of 22(1/2)°.
III/Steps of construction.
(i) Draw a ray AB at the point A.
(II) Taking A as centre and a convenient radius, draw an arc which intersect AB at C.
(III) Taking A as centre and with the same radius, draw an arc which intersect the previous arc at D.
(iv) Taking C and D as centre, draw arcs with equal radius (more than half of CD), which intersect at G.
(v) Draw a ray AG which intersects the main arc at F.
(vi) Taking C and F as centre, draw arcs with equal radius (more than half of CF), which intersect at H.
(vii) Draw a ray AH.
(viii) ∠HAB is the required angle of 15°.