NCERT Solutions
Class 9 Maths
Constructions

Ex.11.1 Q.3
Construct the angles of the following measurements:
1. 300
2. 22 0
3. 150
1. 300
The below given steps will be followed to construct an angle of 300.
Step I: Draw the given ray PQ. Taking P as centre and with some radius, draw an arc of a circle
which intersects PQ at R.
Step II: Taking R as centre and with the same radius as before, draw an arc intersecting the
previously drawn arc at point S.
Step III: Taking R and S as centre and with radius more than ,
draw arcs to intersect each other at T. Join PT which is the required ray making 30° with the given ray PQ.
2. 22 0
The below given steps will be followed to construct an angle of 22 0.
(1) Take the given ray PQ. Draw an arc of some radius, taking point P as its centre,
(2) Taking R as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at S.
(3) Taking S as centre and with the same radius as before, draw an arc intersecting the arc at T.
(4) Taking S and T as centre, draw an arc of same radius to intersect each other at U.
(5) Join PU. Let it intersect the arc at point V.
(6) From R and V, draw arcs with radius more than to intersect each other at W.
Join PW.
(7) Let it intersect the arc at X. Taking X and R as centre and radius more than ,
draw arcs to intersect each other at Y.
Joint PY which is the required ray making with the given ray PQ.
3. 150
The below given steps will be followed to construct an angle of 150.
Step I: Draw the given ray PQ. Taking P as centre and with some radius, draw an arc of a circle which intersects PQ at R.
Step II: Taking R as centre and with the same radius as before, draw an arc.
Step III: Taking R and S as centre and with radius more than , draw arcs to intersect each other at T. Join PT.
Step IV: Let it intersect the arc at U. Taking U and R as centre and with radius more than ,
draw an arc to intersect each other at V.
Join PV which is the required ray making 150 with the given ray PQ.