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  4. A chord subtends an angle 80° at the centre of a circle. What is the angle subtended by the chord in the minor segment of the circle?

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Q. A chord subtends an angle $80^{\circ}$ at the centre of a circle. What is the angle subtended by the chord in the minor segment of the circle?

Geometry

Solution:

image
$\angle ACB =80^{\circ}$
Reflex angle $ACB =280^{\circ}$
$\therefore \angle ADB =\frac{280^{\circ}}{2}=140^{\circ}$