Given that the angles of a polygon are all equal and each angle is a right angle Statement 1 The pol...........

Quantitative Aptitude (CDS) Coordinate Geometry

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Given that the angles of a polygon are all equal and each angle is a right angle.

Statement-1 : The polygon has exactly four sides.

Statement-2: The sum of the angles of a polygon having n sides is (3n - 8) right angles.

Which one of the following is correct in respect of the above statements?

Both Statement-1 and Statement-2 are true and Statement-2 is the correct explanation of Statement-1

Both Statement-1 and Statement-2 are true but Statement-2 is not the correct explanation of Statement-1

Statement-1 is true but Statement-2 is false

Statement-1 is false but Statement-2 is true

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Explanation:

The given statement is; The angles of the polygon are all equal and each angle is 90^o. This means that it is either a rectangle or a square. This makes statement 1 correct (i.e. the polygon has exactly 4 sides). Sum of interior angles of a polygon having ‘n’ sides is (n – 2) * 180^o = (n-2) * 2 * 90^o i.e. sum of interior angles of a polygon having n sides is (2n – 4) right angles. Hence only statement 1 is correct