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Question
Using ruler and compasses, construct the following angle:
165°
Solution
Steps of Construction:
(i) Draw a line segment BC.
(ii) With centre B and some suitable radius draw an arc meeting BC at P.
(iii) With centre P and same radius cut off arcs PQ, QR 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 ∠ABC = 165°
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