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What is the sum of the interior angles of a triangle?
- a)90 degrees
- b)180 degrees
- c)360 degrees
- d)270 degrees
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the sum of the interior angles of a triangle?a)90 degreesb)180...
The interior angles of any triangle always add up to 180 degrees.
Most Upvoted Answer
What is the sum of the interior angles of a triangle?a)90 degreesb)180...
Understanding the Sum of Interior Angles of a Triangle
The sum of the interior angles of a triangle is a fundamental concept in geometry. Here’s a detailed explanation:
Triangle Basics
- A triangle is a three-sided polygon.
- It consists of three angles formed by its three sides.
The Formula for Interior Angles
- The sum of the interior angles of any triangle is always 180 degrees.
- This holds true regardless of the type of triangle (scalene, isosceles, or equilateral).
Why 180 Degrees?
- To visualize this, imagine drawing a triangle on a piece of paper.
- If you extend one side of the triangle and create alternate angles, you can see how the angles relate to a straight line, which measures 180 degrees.
- This property can be proven using various methods, including the exterior angle theorem and by subdividing triangles into smaller shapes.
Applications in Geometry
- Understanding that the interior angles sum to 180 degrees is crucial for solving problems related to triangles.
- It helps in calculating unknown angles when given other angles in a triangle.
Conclusion
- The correct answer to the question about the sum of the interior angles of a triangle is indeed option 'B': 180 degrees.
- This knowledge is foundational for further studies in geometry and trigonometry.
By mastering this concept, students can build a solid base for more complex geometric principles.
The sum of the interior angles of a triangle is a fundamental concept in geometry. Here’s a detailed explanation:
Triangle Basics
- A triangle is a three-sided polygon.
- It consists of three angles formed by its three sides.
The Formula for Interior Angles
- The sum of the interior angles of any triangle is always 180 degrees.
- This holds true regardless of the type of triangle (scalene, isosceles, or equilateral).
Why 180 Degrees?
- To visualize this, imagine drawing a triangle on a piece of paper.
- If you extend one side of the triangle and create alternate angles, you can see how the angles relate to a straight line, which measures 180 degrees.
- This property can be proven using various methods, including the exterior angle theorem and by subdividing triangles into smaller shapes.
Applications in Geometry
- Understanding that the interior angles sum to 180 degrees is crucial for solving problems related to triangles.
- It helps in calculating unknown angles when given other angles in a triangle.
Conclusion
- The correct answer to the question about the sum of the interior angles of a triangle is indeed option 'B': 180 degrees.
- This knowledge is foundational for further studies in geometry and trigonometry.
By mastering this concept, students can build a solid base for more complex geometric principles.
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What is the sum of the interior angles of a triangle?a)90 degreesb)180 degreesc)360 degreesd)270 degreesCorrect answer is option 'B'. Can you explain this answer?
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What is the sum of the interior angles of a triangle?a)90 degreesb)180 degreesc)360 degreesd)270 degreesCorrect answer is option 'B'. Can you explain this answer? for Class 1 2025 is part of Class 1 preparation. The Question and answers have been prepared according to the Class 1 exam syllabus. Information about What is the sum of the interior angles of a triangle?a)90 degreesb)180 degreesc)360 degreesd)270 degreesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 1 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the sum of the interior angles of a triangle?a)90 degreesb)180 degreesc)360 degreesd)270 degreesCorrect answer is option 'B'. Can you explain this answer?.
What is the sum of the interior angles of a triangle?a)90 degreesb)180 degreesc)360 degreesd)270 degreesCorrect answer is option 'B'. Can you explain this answer? for Class 1 2025 is part of Class 1 preparation. The Question and answers have been prepared according to the Class 1 exam syllabus. Information about What is the sum of the interior angles of a triangle?a)90 degreesb)180 degreesc)360 degreesd)270 degreesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 1 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the sum of the interior angles of a triangle?a)90 degreesb)180 degreesc)360 degreesd)270 degreesCorrect answer is option 'B'. Can you explain this answer?.
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