Question
Using ruler and compasses, construct the following angle:
15°
15°
✓
Answer
Steps of Construction:
(i) Draw a line segment $B C$.
(ii) With centre $B$ and a suitable radius draw an arc meeting $B C$ at
P.
(iii) With centre $P$ and with the same radius cut off the arc at $Q$.
(iv) Taking $P$ and $Q$ as curves, draw two arcs intersecting each other at $D$ and join $B D$.
(v) With centre $P$ and $R$, draw two more arcs intersecting each other at $S$.
(vi) Join BS and produce it to $A$.
Then $\angle A B C=15^{\circ}$.
(i) Draw a line segment $B C$.
(ii) With centre $B$ and a suitable radius draw an arc meeting $B C$ at
P.
(iii) With centre $P$ and with the same radius cut off the arc at $Q$.
(iv) Taking $P$ and $Q$ as curves, draw two arcs intersecting each other at $D$ and join $B D$.
(v) With centre $P$ and $R$, draw two more arcs intersecting each other at $S$.
(vi) Join BS and produce it to $A$.
Then $\angle A B C=15^{\circ}$.
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