(i) To construct 30° angle :
Steps of Construction :
1. Draw PQ straight line.
2. With P as centre with any radius draw \(\frac{1}{2}\) arc- intersects PQ at A.
3. With A as centre with same radius draw an arc which intersect at B. Join PB and produced.
4. With A and B centres, with radius more than half of AB draw two arcs which intersect at C. Join PC.
5. ∠BPC = ∠CPQ = 30°.
(ii) To draw an angle of 22\(\frac{1}{2}^o\)
Steps of Construction:
1. Draw a straight line AB.
2. With centre ‘A’, taking convenient radius draw an arc which intersect AB at P.
3. With P as centre with same radius draw an arc at Q, with Q as centre with same radius draw an arc which intersect at R.
4. With R and Q centres with same radius draw two arc which intersect at S. Join AS, ∠BAS = 90°.
5. Now construct AT which is angular bisector of ∠BAS, and joined,
∠TAB= 45°.
6. Now AU which is angular bisector of ∠TAB, AU is joined.
Now, ∠UAB = 22\(\frac{1}{2}^o\)
(iii) To construct an angle 15° :
Steps of Construction :
1. Draw a straight line AB.
2. With A as centre with convenient radius draw an arc which intersect AB at C.
3. With C as centre, with same radius, draw an arc which intersect at D.
Now. ∠DAB = 60°
4. Construct AE, the bisector of ∠DAB. Join then, ∠EAB = 30°.
5. Construct AF, the bisector of ∠EAB. Join then, ∠FAB = 15°.
