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Question 5 (f)

Construct with ruler and compasses, angles of following measures:
135
 


Solution

Steps of construction:

(i) Draw a line PQ and take a point O on it.
(ii) Taking O as centre and convenient radius, mark an arc, which intersects PQ at A and B.
(iii) Taking A and B as centres and radius more than half of AB, draw two arcs intersecting each other at R.
(iv) Join OR. Thus, QOR=POQ=90 .
(v) Draw ¯¯¯¯¯¯¯¯¯OD the bisector of POR. Thus, QOD is the required angle of 135.

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