Question
Using ruler and compasses, construct the following angle:
37.5°
37.5°
✓
Answer
Steps of Construction:
(i) Draw a line segment $B C$.
(ii) With centre $B$ and some suitable radius, draw an arc meeting $B C$ at $P$.
(iii) With centre $P$ and same radius cut off $\operatorname{arcs} P Q$ and $Q R$.
(iv) Now bisect arc QR at $S$ and again bisect arc QS at T.
(v) Bisect arc PT at K.
(vi) Join $B K$ and produce it to $A$.
Then, $\angle A B C=37 \frac{1}{2}^{\circ}$ or 37.5 .
(i) Draw a line segment $B C$.
(ii) With centre $B$ and some suitable radius, draw an arc meeting $B C$ at $P$.
(iii) With centre $P$ and same radius cut off $\operatorname{arcs} P Q$ and $Q R$.
(iv) Now bisect arc QR at $S$ and again bisect arc QS at T.
(v) Bisect arc PT at K.
(vi) Join $B K$ and produce it to $A$.
Then, $\angle A B C=37 \frac{1}{2}^{\circ}$ or 37.5 .
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