Question : If the angle made by a chord on the major arc of a circle is $50^{\circ}$, then what will be the angle made by the same chord on the minor arc of this circle?
Option 1: $120^{\circ}$
Option 2: $130^{\circ}$
Option 3: $80^{\circ}$
Option 4: $100^{\circ}$
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Correct Answer: $130^{\circ}$
Solution :
Angle made by a chord on the major arc of a circle $\angle ACB $ = $50^{\circ}$
Angle made by the same chord on the minor arc of the circle = $\angle ADB$
= $180^{\circ}-50^{\circ}$
= $130^{\circ}$
Hence, the correct answer is $130^{\circ}$.
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