Angles in quadrilateral sum – UGC NET Question

This option is correct because the sum of interior angles of a simple quadrilateral is known to be 360 degrees. A quadrilateral can be divided into two triangles, each having an angle sum of 180 degrees. Adding these gives 180 + 180 = 360. Therefore, the total interior angle sum is 360 degrees.

Option A:
A quadrilateral can be split into two triangles by drawing one diagonal. Each triangle has 180 degrees as the sum of its interior angles. Adding both triangle sums gives 360 degrees, so 360 is the correct total for the quadrilateral.

Option B:
180 degrees is the sum of interior angles of a single triangle, not a quadrilateral. Since a quadrilateral has more sides, its angle sum must be greater than that of a triangle. Thus, this option is not correct.

Option C:
270 degrees does not match any standard polygon angle-sum formula for quadrilaterals. It is less than the correct total of 360 degrees and therefore cannot be the right answer.

Option D:
540 degrees is the interior angle sum of a pentagon, not a quadrilateral. Using this value would assume five sides instead of four. Hence, this option is also incorrect.