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The angle between two altitudes of a Parallelogram through the vertex of an obtuse angle of the Parallelogram of 60∘. Find the angles of the Parallelogram
- a)150∘, 150∘, 30∘, 30∘
- b)110∘, 50∘, 105∘, 105∘
- c)120∘, 60∘, 120∘, 60∘
- d)200∘, 100∘, 30∘, 30∘
Correct answer is option 'C'. Can you explain this answer?
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Given Information:
- The angle between two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 60 degrees.
To Find:
- The angles of the parallelogram.
Solution:
Let's consider the given options one by one and check which one satisfies the given condition.
Option A: 150, 150, 30, 30
If we consider the angles of the parallelogram as 150, 150, 30, 30, then the sum of the opposite angles is not equal. The sum of opposite angles in a parallelogram should be 180 degrees. But in this case, the sum of the opposite angles is 180 + 60 = 240 degrees, which is not possible. So, option A is incorrect.
Option B: 110, 50, 105, 105
If we consider the angles of the parallelogram as 110, 50, 105, 105, then the sum of the opposite angles is not equal. The sum of opposite angles in a parallelogram should be 180 degrees. But in this case, the sum of the opposite angles is 180 + 60 = 240 degrees, which is not possible. So, option B is incorrect.
Option C: 120, 60, 120, 60
If we consider the angles of the parallelogram as 120, 60, 120, 60, then the sum of the opposite angles is equal. The sum of opposite angles in a parallelogram should be 180 degrees. In this case, the sum of the opposite angles is 180 degrees, which satisfies the condition. So, option C is correct.
Option D: 200, 100, 30, 30
If we consider the angles of the parallelogram as 200, 100, 30, 30, then the sum of the opposite angles is not equal. The sum of opposite angles in a parallelogram should be 180 degrees. But in this case, the sum of the opposite angles is 180 + 60 = 240 degrees, which is not possible. So, option D is incorrect.
Conclusion:
From the above analysis, we can conclude that the correct angles of the parallelogram are 120, 60, 120, 60, which is given in option C.
- The angle between two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 60 degrees.
To Find:
- The angles of the parallelogram.
Solution:
Let's consider the given options one by one and check which one satisfies the given condition.
Option A: 150, 150, 30, 30
If we consider the angles of the parallelogram as 150, 150, 30, 30, then the sum of the opposite angles is not equal. The sum of opposite angles in a parallelogram should be 180 degrees. But in this case, the sum of the opposite angles is 180 + 60 = 240 degrees, which is not possible. So, option A is incorrect.
Option B: 110, 50, 105, 105
If we consider the angles of the parallelogram as 110, 50, 105, 105, then the sum of the opposite angles is not equal. The sum of opposite angles in a parallelogram should be 180 degrees. But in this case, the sum of the opposite angles is 180 + 60 = 240 degrees, which is not possible. So, option B is incorrect.
Option C: 120, 60, 120, 60
If we consider the angles of the parallelogram as 120, 60, 120, 60, then the sum of the opposite angles is equal. The sum of opposite angles in a parallelogram should be 180 degrees. In this case, the sum of the opposite angles is 180 degrees, which satisfies the condition. So, option C is correct.
Option D: 200, 100, 30, 30
If we consider the angles of the parallelogram as 200, 100, 30, 30, then the sum of the opposite angles is not equal. The sum of opposite angles in a parallelogram should be 180 degrees. But in this case, the sum of the opposite angles is 180 + 60 = 240 degrees, which is not possible. So, option D is incorrect.
Conclusion:
From the above analysis, we can conclude that the correct angles of the parallelogram are 120, 60, 120, 60, which is given in option C.
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The angle between two altitudes of a Parallelogram through the vertex of an obtuse angle of the Parallelogram of60∘. Find the angles of the Parallelograma)150∘, 150∘, 30∘, 30∘b)110∘, 50∘, 105∘, 105∘c)120∘, 60∘, 120∘, 60∘d)200∘, 100∘, 30∘, 30∘Correct answer is option 'C'. 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 The angle between two altitudes of a Parallelogram through the vertex of an obtuse angle of the Parallelogram of60∘. Find the angles of the Parallelograma)150∘, 150∘, 30∘, 30∘b)110∘, 50∘, 105∘, 105∘c)120∘, 60∘, 120∘, 60∘d)200∘, 100∘, 30∘, 30∘Correct answer is option 'C'. 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 The angle between two altitudes of a Parallelogram through the vertex of an obtuse angle of the Parallelogram of60∘. Find the angles of the Parallelograma)150∘, 150∘, 30∘, 30∘b)110∘, 50∘, 105∘, 105∘c)120∘, 60∘, 120∘, 60∘d)200∘, 100∘, 30∘, 30∘Correct answer is option 'C'. Can you explain this answer?.
The angle between two altitudes of a Parallelogram through the vertex of an obtuse angle of the Parallelogram of60∘. Find the angles of the Parallelograma)150∘, 150∘, 30∘, 30∘b)110∘, 50∘, 105∘, 105∘c)120∘, 60∘, 120∘, 60∘d)200∘, 100∘, 30∘, 30∘Correct answer is option 'C'. 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 The angle between two altitudes of a Parallelogram through the vertex of an obtuse angle of the Parallelogram of60∘. Find the angles of the Parallelograma)150∘, 150∘, 30∘, 30∘b)110∘, 50∘, 105∘, 105∘c)120∘, 60∘, 120∘, 60∘d)200∘, 100∘, 30∘, 30∘Correct answer is option 'C'. 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 The angle between two altitudes of a Parallelogram through the vertex of an obtuse angle of the Parallelogram of60∘. Find the angles of the Parallelograma)150∘, 150∘, 30∘, 30∘b)110∘, 50∘, 105∘, 105∘c)120∘, 60∘, 120∘, 60∘d)200∘, 100∘, 30∘, 30∘Correct answer is option 'C'. Can you explain this answer?.
Solutions for The angle between two altitudes of a Parallelogram through the vertex of an obtuse angle of the Parallelogram of60∘. Find the angles of the Parallelograma)150∘, 150∘, 30∘, 30∘b)110∘, 50∘, 105∘, 105∘c)120∘, 60∘, 120∘, 60∘d)200∘, 100∘, 30∘, 30∘Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
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ample number of questions to practice The angle between two altitudes of a Parallelogram through the vertex of an obtuse angle of the Parallelogram of60∘. Find the angles of the Parallelograma)150∘, 150∘, 30∘, 30∘b)110∘, 50∘, 105∘, 105∘c)120∘, 60∘, 120∘, 60∘d)200∘, 100∘, 30∘, 30∘Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 9 tests.
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