Multiple Choice Questions

If one of the angles of a triangle is 74o then the angle between the bisectors of the other two inte...........

Quantitative Aptitude (CGL) Geometry

If one of the angles of a triangle is 74^o, then the angle between the bisectors of the other two interior angles is:

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SSC CGL 16th August 2021 Shift-2

53^o

106^o

127^o

16^o

- Start with understanding that the sum of a triangle's angles is always 180°.

- Since one angle is 74°, the sum of the other two angles must be 106°.

- Let these two angles be x and y, so x + y = 106°.

- The angle between the bisectors of these two angles can be given by: 90° + (x + y) / 2 - x or y.

- The angle between the bisectors can then be calculated as 90° + 53° - x or y.

- The problem boils down to evaluating options for a meaningful result.

?? Option 3, 127°, is correct by substituting respective values.

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