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

LohaHridoy

6 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : Statement 1 is true but Statement 2 is false

Statement 2:

Sum of interior angles of a polygon = (n - 2) × 180 = (2n - 4) × 90

∴ Statement 2 is false

Statement 1:

Sum of interior angles of the polygon = n × 90°

(2n - 4) × 90 = n × 90

2n - 4 - n

∴ n = 4.

Statement 1 is true

6 views Answered 2022-09-04 04:29

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