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In a circle, the chords AB and CD are equal. The angle subtended by AB at the circumference is 65°. What is the angle subtended by CD at the circumference?

1. 32.5°
2. 65°
3. 130°
4. 145°

Correct answer: 65°

Solution

In the same circle, equal chords subtend equal angles at the circumference. Since AB and CD are equal, the angle subtended by CD at the circumference is the same as that subtended by AB. Therefore, the required angle is 65°.

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