1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4 arcs
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
5 arcs
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
6 arcs
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 4 arcsSteps 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∘

Suggest Corrections
1
Join BYJU'S Learning Program
Related Videos
Constructing Angles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program