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Question
Nish wants to find the number of arcs used to construct ∠ABX=30∘ using only a compass and a ruler after drawing the base ray PX. Help her find the number of arcs she makes with the compass.
- 4
- 4
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Solution
The correct option is A 4
Steps of construction:
1. Draw a ray BD.
2. With B as the center and any radius, draw an arc that cuts BD at point C. This is the first arc.
3. With C as the center and the same radius, cut the previous arc at A. This is the second arc.
4. With A as the center and any radius more than half of AC, draw another arc as shown. This is the third arc.
5. With C as the center and the same radius as above, cut the previously drawn arc at E. This is the fourth arc.
6. Join BE.
In the figure shown above, ∠DBE=∠ABE=30∘.
Steps of construction:
1. Draw a ray BD.
2. With B as the center and any radius, draw an arc that cuts BD at point C. This is the first arc.
3. With C as the center and the same radius, cut the previous arc at A. This is the second arc.
4. With A as the center and any radius more than half of AC, draw another arc as shown. This is the third arc.
5. With C as the center and the same radius as above, cut the previously drawn arc at E. This is the fourth arc.
6. Join BE.
In the figure shown above, ∠DBE=∠ABE=30∘.
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