The sum of angles of a triangle formed in a spherical geometry is equal to $180^{o}$ .

True

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False

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Solution

The correct option is B False
The sum of angles of a triangle formed in a spherical geometry is always greater than $180^{o}$ . It is $180^{o}$ only in 2 - D geometry. Spherical geometry is 3-D, applied to 3-D entities. Hence the angle will be greater than $180^{o}$ .

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