Question 5 (f)
Construct with ruler and compasses, angles of following measures:
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∘.