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Read the following statements carefully and select the correct option.
Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 70 degrees.
Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 70 degrees.
Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
- a)Statement-I is true but Statement-II is false.
- b)Statement-I is false but Statement-II is true.
- c)Both Statement-I and Statement-II are true.
- d)Both Statement-I and Statement-II are false.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Read the following statements carefully and select the correct option....
The sum of the interior angles of a triangle is 180 degrees. For angles 50 and 60 degrees, the third angle is 180−50−60=70 degrees, so Statement-I is true. The exterior angle of a triangle is indeed equal to the sum of the two opposite interior angles, so Statement-II is true.
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Most Upvoted Answer
Read the following statements carefully and select the correct option....
Understanding Statement-I
Statement-I claims that if two angles of a triangle are 50 degrees and 60 degrees, the third angle is 70 degrees.
- The sum of all angles in a triangle must equal 180 degrees.
- Calculation:
- 50 degrees + 60 degrees = 110 degrees
- To find the third angle: 180 degrees - 110 degrees = 70 degrees
- Thus, Statement-I is **true**.
Understanding Statement-II
Statement-II asserts that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.
- The exterior angle is formed by extending one side of the triangle.
- According to the Exterior Angle Theorem:
- An exterior angle equals the sum of the two non-adjacent (opposite) interior angles.
- Therefore, Statement-II is **also true**.
Conclusion
Both statements are examined thoroughly:
- **Statement-I**: True (the third angle is indeed 70 degrees).
- **Statement-II**: True (the theorem holds for all triangles).
Thus, the correct conclusion is that both statements are true. However, the provided answer states that the correct option is 'B', which indicates that Statement-I is false and Statement-II is true. This is incorrect based on the analysis above.
So, the correct option should actually be:
Correct Option: c) Both Statement-I and Statement-II are true.
Statement-I claims that if two angles of a triangle are 50 degrees and 60 degrees, the third angle is 70 degrees.
- The sum of all angles in a triangle must equal 180 degrees.
- Calculation:
- 50 degrees + 60 degrees = 110 degrees
- To find the third angle: 180 degrees - 110 degrees = 70 degrees
- Thus, Statement-I is **true**.
Understanding Statement-II
Statement-II asserts that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.
- The exterior angle is formed by extending one side of the triangle.
- According to the Exterior Angle Theorem:
- An exterior angle equals the sum of the two non-adjacent (opposite) interior angles.
- Therefore, Statement-II is **also true**.
Conclusion
Both statements are examined thoroughly:
- **Statement-I**: True (the third angle is indeed 70 degrees).
- **Statement-II**: True (the theorem holds for all triangles).
Thus, the correct conclusion is that both statements are true. However, the provided answer states that the correct option is 'B', which indicates that Statement-I is false and Statement-II is true. This is incorrect based on the analysis above.
So, the correct option should actually be:
Correct Option: c) Both Statement-I and Statement-II are true.
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Read the following statements carefully and select the correct option.Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 70 degrees.Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'B'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Read the following statements carefully and select the correct option.Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 70 degrees.Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following statements carefully and select the correct option.Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 70 degrees.Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'B'. Can you explain this answer?.
Read the following statements carefully and select the correct option.Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 70 degrees.Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'B'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Read the following statements carefully and select the correct option.Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 70 degrees.Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the following statements carefully and select the correct option.Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 70 degrees.Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Read the following statements carefully and select the correct option.Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 70 degrees.Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
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Here you can find the meaning of Read the following statements carefully and select the correct option.Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 70 degrees.Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Read the following statements carefully and select the correct option.Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 70 degrees.Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Read the following statements carefully and select the correct option.Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 70 degrees.Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Read the following statements carefully and select the correct option.Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 70 degrees.Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Read the following statements carefully and select the correct option.Statement-I: If two angles of a triangle are 50 degrees and 60 degrees, the third angle is 70 degrees.Statement-II: The exterior angle of a triangle is equal to the sum of the two opposite interior angles.a)Statement-I is true but Statement-II is false.b)Statement-I is false but Statement-II is true.c)Both Statement-I and Statement-II are true.d)Both Statement-I and Statement-II are false.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 9 tests.
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