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Question
Bisect a straight angle, using ruler and compasses. Measure each part.
Solution
Steps of construction:
(i) Draw a line AB of any length.
(ii) Draw an arc of 180° which meets the ray `vec(OA)` at P and ray `vec(OB)` at Q.
(iii) Taking P and Q as centres and radius more than `1/2 (hat(PQ))`, draw two arcs which intersect each other at R.
(iv) Join OR and produce it to any point C.
(v) Thus, `vec(OC)` bisect the straight angle. Now, on measuring each angle we get, ∠BOC = ∠AOC = 90°.
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