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Question

How many angler bisectors are drawn to construct an angle of 22.5

A
1
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B
2
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C
3
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D
4
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Solution

The correct option is B 2
Steps to construct an angle of 2212

1.Construct UPQ=90 by using a compass (see figure).

2. Angle bisector of 90 angle :---(1)
With R and V as centres, draw arcs with radius more than 12RV, to intersect each other at W and join PW.
Let the ray PW intersect the arc at X.

3. Angle bisector of 45 angle:---(2)
Taking X and R as the centre, with a radius more than 12RX, draw arcs to intersect each other at Y.
Joint PY which is the required ray that makes an angle of 2212 with the ray PQ.

2 angle bisectors are drawn to construct an angle of 22.5.

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