# Practical Geometry

#### Question 5:

Construct with ruler and compasses, angles of following measures:

(a) 60° (b) 30° (c) 90°

(d) 120° (e) 45° (f) 135°

#### Answer:

(a) 60°

The below given steps will be followed to construct an angle of 60°.

(1) Draw a line *l* and mark a point P on it. Now, taking P as
centre and with a convenient radius, draw an arc of a circle which
intersects line *l* at Q.

(2) Taking Q as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at point R.

(3) Join PR which is the required ray making 60°
with line *l*.

(b) 30°

The below given steps will be followed to construct an angle of 30°.

(1) Draw a line *l* and mark a point P on it. Now taking P as
centre and with convenient radius, draw an arc of a circle which
intersects line *l* at Q.

(2) Taking Q as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at point R.

(3) Now, taking Q and R as centre and with radius more than
RQ,
draw arcs to intersect each other at S. Join PS which is the required
ray making 30° with line *l*.

(c) 90º

The below given steps will be followed to construct an angle of 90°.

(1) Draw a line *l* and mark a point P on it. Now taking P as
centre and with a convenient...

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