Question
Using ruler and compasses, construct the following angle:
165°
165°
✓
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 arcs $P Q, Q R$ and then RS.
(iv) Join SB.
(v) With centres R and S, draw two arcs intersecting each other at M.
(vi) With centre $T$ and $S$ draw two arcs intersecting each other at L.
(vii) Join BL and produce it to $A$. Then $\angle A B C=165^{\circ}$
(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 arcs $P Q, Q R$ and then RS.
(iv) Join SB.
(v) With centres R and S, draw two arcs intersecting each other at M.
(vi) With centre $T$ and $S$ draw two arcs intersecting each other at L.
(vii) Join BL and produce it to $A$. Then $\angle A B C=165^{\circ}$
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