Page 209 - Maths Class 06
P. 209
¾®
Step 4. AE is the an gu lar bi sec tor of ÐCAB. There fore, ÐCAD = ÐDAB = 30°, is the re quired an gle.
To Construct an Angle of Measure 45°.
D
Step 1. Draw an an gle of 90° as ex plained be fore
(See Fig. 14.58). R
Step 2. Tak ing Q as a cen tre and a ra dius more than half of
QR, draw an arc.
B P A Q C
Fig. 14.58
D
Step 3. Tak ing R as the cen tre and the same ra dius, draw an R
arc cut ting the pre vi ous arc at E.
B P A Q C
Fig. 14.59
Step 4. Join A and E to get the line segment AE.
D
R
E
B P A Q C
Fig. 14.60
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Step 5. AF is the an gu lar bi sec tor of ÐDAC. There fore, ÐDAE = ÐEAC = 45° is the re quired an gle. Ver ify
it by us ing a pro trac tor.
D
F
R
E
45°
B P A Q C
Fig. 14.61
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