If angle made by a chord on the major arc of a circle is 50 degree, then what will be the angle made by same chord on the minor arc of this circle?

This question was previously asked in
SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 16 March, 2023 Shift 2)
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  1. 120 degree
  2. 130 degree
  3. 80 degree
  4. 100 degree

Answer (Detailed Solution Below)

Option 2 : 130 degree
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Detailed Solution

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Concept Used:

In a circle, the following property holds: the angle that a chord subtends on the major arc is 180 degrees minus the angle that the same chord subtends on the minor arc. This is due to the fact that any point on a circle defines an angle of 360 degrees.

Calculation:
F1 Vinanti SSC 09.06.23 D6
So, if the angle made by a chord on the major arc is ∠ACB = 50°, 

then the angle that the same chord makes on the minor arc of the

circle would be  ACB = 180 - 50 = 130°.

Option 2 is the correct answer.

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