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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.
Statement 2: The sum of the angles of a polygon having n sides is (3n - 8) right angles.
Q. Which one of the following is correct in respect of the above statements?
- a)Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of statement 1
- b)Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of statement 1
- c)Statement 1 is true but Statement 2 is false
- d)Statement 1 is false but Statement 1 is true
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Given that the angles of a polygon are all equal and each angle is a r...
Statement 2:
Sum of interior angles of a polygon = (n - 2) × 180 = (2n - 4) × 90
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° [∵ All angles are right angles]
(2n - 4) × 90 = n × 90
2n - 4 - n
∴ n = 4.
Statement 1 is true
Sum of interior angles of the polygon = n × 90° [∵ All angles are right angles]
(2n - 4) × 90 = n × 90
2n - 4 - n
∴ n = 4.
Statement 1 is true
Most Upvoted Answer
Given that the angles of a polygon are all equal and each angle is a r...
Statement 1: The polygon has exactly four sides
Statement 1 states that the polygon has exactly four sides. This means that it is a quadrilateral.
Statement 2: The sum of the angles of a polygon having n sides is (3n - 8) right angles.
Statement 2 gives a formula for finding the sum of the angles of a polygon with n sides. According to this formula, the sum of the angles is equal to (3n - 8) right angles.
Explanation:
To determine the correctness of the statements, let's analyze each statement separately.
Statement 1:
If the angles of a polygon are all equal and each angle is a right angle, the polygon would have four right angles. This implies that the polygon is a quadrilateral, as all quadrilaterals have four sides. Therefore, Statement 1 is true.
Statement 2:
Statement 2 provides a formula for calculating the sum of the angles of a polygon with n sides. The formula (3n - 8) is derived from the fact that the sum of the interior angles of a polygon with n sides is equal to (n-2) times 180 degrees. In this case, since each angle is a right angle (90 degrees), we divide the sum by 90 to find the number of right angles. This results in (n-2) right angles. However, since each angle in the given polygon is a right angle, the sum of the angles will be equal to n right angles. Therefore, the formula (3n - 8) is not applicable in this case. Hence, Statement 2 is false.
Conclusion:
Based on the analysis, we can conclude that Statement 1 is true but Statement 2 is false. Therefore, the correct answer is option (C) - Statement 1 is true but Statement 2 is false.
Statement 1 states that the polygon has exactly four sides. This means that it is a quadrilateral.
Statement 2: The sum of the angles of a polygon having n sides is (3n - 8) right angles.
Statement 2 gives a formula for finding the sum of the angles of a polygon with n sides. According to this formula, the sum of the angles is equal to (3n - 8) right angles.
Explanation:
To determine the correctness of the statements, let's analyze each statement separately.
Statement 1:
If the angles of a polygon are all equal and each angle is a right angle, the polygon would have four right angles. This implies that the polygon is a quadrilateral, as all quadrilaterals have four sides. Therefore, Statement 1 is true.
Statement 2:
Statement 2 provides a formula for calculating the sum of the angles of a polygon with n sides. The formula (3n - 8) is derived from the fact that the sum of the interior angles of a polygon with n sides is equal to (n-2) times 180 degrees. In this case, since each angle is a right angle (90 degrees), we divide the sum by 90 to find the number of right angles. This results in (n-2) right angles. However, since each angle in the given polygon is a right angle, the sum of the angles will be equal to n right angles. Therefore, the formula (3n - 8) is not applicable in this case. Hence, Statement 2 is false.
Conclusion:
Based on the analysis, we can conclude that Statement 1 is true but Statement 2 is false. Therefore, the correct answer is option (C) - Statement 1 is true but Statement 2 is false.
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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 sidesStatement 2: The sum of the angles of a polygon having n sides is (3n - 8) right angles.Q. Which one of the following is correct in respect of the above statements?a)Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of statement 1b)Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of statement 1c)Statement 1 is true but Statement 2 is falsed)Statement 1 is false but Statement 1 is trueCorrect answer is option 'C'. Can you explain this answer?
Question Description
Given that the angles of a polygon are all equal and each angle is a right angle.Statement 1: The polygon has exactly four sidesStatement 2: The sum of the angles of a polygon having n sides is (3n - 8) right angles.Q. Which one of the following is correct in respect of the above statements?a)Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of statement 1b)Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of statement 1c)Statement 1 is true but Statement 2 is falsed)Statement 1 is false but Statement 1 is trueCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Given that the angles of a polygon are all equal and each angle is a right angle.Statement 1: The polygon has exactly four sidesStatement 2: The sum of the angles of a polygon having n sides is (3n - 8) right angles.Q. Which one of the following is correct in respect of the above statements?a)Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of statement 1b)Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of statement 1c)Statement 1 is true but Statement 2 is falsed)Statement 1 is false but Statement 1 is trueCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given that the angles of a polygon are all equal and each angle is a right angle.Statement 1: The polygon has exactly four sidesStatement 2: The sum of the angles of a polygon having n sides is (3n - 8) right angles.Q. Which one of the following is correct in respect of the above statements?a)Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of statement 1b)Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of statement 1c)Statement 1 is true but Statement 2 is falsed)Statement 1 is false but Statement 1 is trueCorrect answer is option 'C'. Can you explain this answer?.
Given that the angles of a polygon are all equal and each angle is a right angle.Statement 1: The polygon has exactly four sidesStatement 2: The sum of the angles of a polygon having n sides is (3n - 8) right angles.Q. Which one of the following is correct in respect of the above statements?a)Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of statement 1b)Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of statement 1c)Statement 1 is true but Statement 2 is falsed)Statement 1 is false but Statement 1 is trueCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Given that the angles of a polygon are all equal and each angle is a right angle.Statement 1: The polygon has exactly four sidesStatement 2: The sum of the angles of a polygon having n sides is (3n - 8) right angles.Q. Which one of the following is correct in respect of the above statements?a)Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of statement 1b)Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of statement 1c)Statement 1 is true but Statement 2 is falsed)Statement 1 is false but Statement 1 is trueCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given that the angles of a polygon are all equal and each angle is a right angle.Statement 1: The polygon has exactly four sidesStatement 2: The sum of the angles of a polygon having n sides is (3n - 8) right angles.Q. Which one of the following is correct in respect of the above statements?a)Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of statement 1b)Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of statement 1c)Statement 1 is true but Statement 2 is falsed)Statement 1 is false but Statement 1 is trueCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Given that the angles of a polygon are all equal and each angle is a right angle.Statement 1: The polygon has exactly four sidesStatement 2: The sum of the angles of a polygon having n sides is (3n - 8) right angles.Q. Which one of the following is correct in respect of the above statements?a)Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of statement 1b)Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of statement 1c)Statement 1 is true but Statement 2 is falsed)Statement 1 is false but Statement 1 is trueCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
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ample number of questions to practice Given that the angles of a polygon are all equal and each angle is a right angle.Statement 1: The polygon has exactly four sidesStatement 2: The sum of the angles of a polygon having n sides is (3n - 8) right angles.Q. Which one of the following is correct in respect of the above statements?a)Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of statement 1b)Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of statement 1c)Statement 1 is true but Statement 2 is falsed)Statement 1 is false but Statement 1 is trueCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Defence tests.
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