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Title: Construction class 9th.pdf.
Description: Class 9th notes of maths . . Construction 🚧

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Class IX Chapter 11 – Constructions
Maths
Exercise 11
...

Answer:
The below given steps will be followed to construct an angle of 90°
...
Draw an arc of some radius taking point P as its centre,
which intersects PQ at R
...

(iii) Taking S as centre and with the same radius as before, draw an arc intersecting
the arc at T (see figure)
...

(v) Join PU, which is the required ray making 90° with the given ray PQ
...


For this, join PS and PT
...
In (iii) and (iv) steps of this construction, PU was
drawn as the bisector of
TPS
...


Answer:
The below given steps will be followed to construct an angle of 45°
...
Draw an arc of some radius taking point P as its centre,
which intersects PQ at R
...

(iii) Taking S as centre and with the same radius as before, draw an arc intersecting
the arc at T (see figure)
...

(v) Join PU
...

(vi) From R and V, draw arcs with radius more than

RV to intersect each other at W
...

PW is the required ray making 45° with PQ
...


WPQ = 45°
...
In (iii) and (iv) steps of this construction, PU was
drawn as the bisector of
TPS
...


∠ UPQ

Question 3:
Construct the angles of the following measurements:

(i) 30° (ii)

(iii) 15° Answer:

(i)30°
The below given steps will be followed to construct an angle of 30°
...
Taking P as centre and with some radius, draw an arc
of a circle which intersects PQ at R
...

Step III: Taking R and S as centre and with radius more than
RS, draw arcs to
intersect each other at T
...


(ii)
The below given steps will be followed to construct an angle of


...
Draw an arc of some radius, taking point P as its centre,
which intersects PQ at R
...

(3) Taking S as centre and with the same radius as before, draw an arc intersecting
the arc at T (see figure)
...

(5) Join PU
...


(6) From R and V, draw arcs with radius more than

RV to intersect each other at W
...


(7) Let it intersect the arc at X
...


RX, draw arcs to intersect each other at Y
...


(iii) 15°
The below given steps will be followed to construct an angle of 15°
...
Taking P as centre and with some radius, draw an arc
Step II: Taking R as centre and with the same radius as before, draw an arc
intersecting the previously drawn arc at point S
Title: Construction class 9th.pdf.
Description: Class 9th notes of maths . . Construction 🚧