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Question

Number of arcs drawn in the construction of 90 degree angle using ruler and compass are _______

A
2
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B
3
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C
4
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D
6
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Solution

The correct option is C 4

Step 1 :

(i) To construct 90° angle, we are going to bisect the straight angle 180°.
(ii) Mark a point ‘O’ on a straight line ‘l’.

Step 2 :

(i) With ‘O’ as center draw arcs of any radius to cut the line l at A and B.
(ii) Now ∠AOB = 180°.

Step 3 :

With A and B as centers and with the radius more than half of AB draw arcs above AB to intersect each other at ‘C’.

Step 4 :

(i) Join OC.
(ii) We get the required angle ∠AOC = 90°.


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