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P 2

1
3

60° S R

Q

1 Construct a long arc from 2 Keeping the same distance on 3 Draw a line joining point
Q intersecting QR. Mark the compasses, construct an P and point Q. Thus,
the point of intersection arc from S intersecting the arc ∠PQR = 60°.
as S. constructed in Step 1. Mark the
point of intersection as P.

Scan the QR Code or visit https://youtu.be/urXMY5G2-6Y to watch the video of the
CHAPTER
8 construction of an angle of 60°. Then, explain the rationale of the construction steps.

(ii) Angle bisectors

If a line divides an angle into two equal angles, the P
line is known as an angle bisector.
S
For instance, line OS is the angle bisector of ∠POR. 20° 40°
20°
O R
8

Using only a pair of compasses and a ruler, construct P
the angle bisector of ∠PQR.

60°
Q R

182
Chapter 8

08 TB Math F1.indd 182 11/10/16 12:17 PM