Your aim is to construct an angle ∠ YPX = 30∘ using a compass and ruler only. What is the total number of arcs to be drawn to construct an angle of 30∘ after drawing the base ray PX?
A
3 arcs
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B
6 arcs
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C
4 arcs
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D
5 arcs
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Solution
The correct option is C 4 arcs Steps of construction:
1. Draw a ray PX.
2. With P as the centre and any radius, draw an arc, which cuts PX at point A. This is the first arc.
3. With A as the centre and with the same radius, cut the previous arc at B. This would be the second arc.
4. With B as the centre and with any radius more than half of AB, draw another arc as shown. This is the third arc.
5. With A as the centre and with the same radius as above, cut the previously drawn arc at Y. This would be the fourth arc.
6. Join PY.
In the figure shown above ∠YPA=∠YPB=30∘