Find the value of x.
B
2
X
А A
30°
5
30°
5

The value of x, that is chord CD is 2 cm.
We need to find the value of x.
Equal chords of a circle subtend equal angles at the centre. The converse of the theorem is if two chords subtend equal angles at the centre, they are equal.
In the given diagram chord AB and chord CD subtend the equal angles which are 30°. Therefore, AB=CD=2 cm.
Hence, the value of x, that is chord CD is 2 cm.
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