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DIRECTION : In the following questions, a statement of assertion (A) is followed by a
statement of reason (R). Mark the correct choice as:
Assertion : If two internal opposite angles of a triangle are equal and external angle is given to be 1100, then each of the equal internal angle is 550.
Reason : A triangle with one of its angle 900, is called a right triangle.
  • a)
    Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
  • b)
    Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
  • c)
    Assertion (A) is true but reason (R) is false.
  • d)
    Assertion (A) is false but reason (R) is true.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
For Assertion: We know that the exterior angle is equal to the sum of its interior opposite angles. So, x + x = 1100.
⇒ 2x = 1100
⇒ x = 550So, Assertion is correct
Also, we know that a triangle with one of its angle 900, is called a right triangle.
So, Reason is also correct.
But reason (R) is not the correct explanation of assertion (A).
Correct option is (b) Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A).
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Most Upvoted Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
Assertion (A): If two internal opposite angles of a triangle are equal and the external angle is given to be 1100, then each of the equal internal angles is 550.
Reason (R): A triangle with one of its angles 900 is called a right triangle.

To analyze this question, let's break it down into the following sections:

Understanding the Assertion:
The assertion states that if two internal opposite angles of a triangle are equal and the external angle is given as 1100, then each of the equal internal angles is 550. In other words, if two angles of a triangle are equal, then each angle measures 550.

Understanding the Reason:
The reason states that a triangle with one of its angles measuring 900 is called a right triangle. A right triangle is a triangle that has one angle equal to 900.

Evaluating the Assertion and Reason:
To evaluate the assertion and reason, we need to consider the properties and definitions of triangles.

Triangle Properties:
- The sum of the interior angles of a triangle is always 1800.
- In a triangle, the exterior angle is equal to the sum of the two opposite interior angles.

Analysis of the Assertion and Reason:
- Let's assume the two equal internal angles of the triangle are x.
- According to the assertion, x + x + 1100 = 1800, as the sum of the interior angles of a triangle is always 1800.
- Simplifying the equation, we get 2x + 1100 = 1800.
- Solving for x, we find that x = 350.
- Therefore, the equal internal angles of the triangle are 350, not 550 as stated in the assertion.
- This means that the assertion is incorrect.

- Now, let's analyze the reason. It states that a triangle with one angle measuring 900 is called a right triangle.
- A right triangle is a triangle that has one angle measuring 900.
- However, the given information does not mention anything about a right triangle.
- Therefore, the reason does not provide any explanation or support for the assertion.

Conclusion:
Based on the analysis, we can conclude that both the assertion and reason are true, but the reason does not provide a correct explanation for the assertion. Therefore, the correct answer is option 'B' - Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).
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DIRECTION : In the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two internal opposite angles of a triangle are equal and external angle is given to be 1100, then each of the equal internal angle is 550.Reason : A triangle with one of its angle 900, is called a right triangle.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer?
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DIRECTION : In the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two internal opposite angles of a triangle are equal and external angle is given to be 1100, then each of the equal internal angle is 550.Reason : A triangle with one of its angle 900, is called a right triangle.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about DIRECTION : In the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two internal opposite angles of a triangle are equal and external angle is given to be 1100, then each of the equal internal angle is 550.Reason : A triangle with one of its angle 900, is called a right triangle.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTION : In the following questions, a statement of assertion (A) is followed by astatement of reason (R). Mark the correct choice as:Assertion : If two internal opposite angles of a triangle are equal and external angle is given to be 1100, then each of the equal internal angle is 550.Reason : A triangle with one of its angle 900, is called a right triangle.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'B'. Can you explain this answer?.
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