(i)

Steps of construction:

Step 1: Draw a ray OY.

Step 2: Take A as a centre and any random radius, draw an arc AB cutting OY at A.

Step3: Taking A and B as centres, 2 arcs are marked intersecting each other at X and hence, the bisector of 30⁰is constructed.

Thus, ∠XOY is the required angle

(ii)

Steps of construction:

Step 1: Draw an angle ∠XOY =.

Step 2: Draw the bisector of ∠XOY such that ∠BOY = is constructed.

Step3: Again angle BOY is bisected such that ∠AOY is formed.

Thus ∠AOY is required angle

(iii)

Steps of construction:

Step 1: Draw an angle ∠AOY = .

Step 2: Draw the bisector of ∠AOY such that ∠BOY = is constructed.

Step3: Taking C and D as centres, 2 arcs are marked intersecting each other at X and hence, the bisector of ∠BOY is drawn.

Thus ∠XOY is the required angle