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The total measure of the three angles of a triangle is _____.
- a)180°
- b)90°
- c)80°
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The total measure of the three angles of a triangle is _____.a)180°...
In a Euclidean space, the sum of measures of these three angles of any triangle is invariably equal to the straight angle, also expressed as 180degree, π radians, two right angles, or a half-turn.
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The total measure of the three angles of a triangle is _____.a)180°...
The total measure of the angles in a Triangle is 180* with each angle measuring 60*
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The total measure of the three angles of a triangle is _____.a)180°...
The Total Measure of Angles in a Triangle
In geometry, one of the fundamental properties of triangles is the total measure of their internal angles. This principle applies to all types of triangles, whether they are scalene, isosceles, or equilateral.
Key Points about Triangle Angles:
- Total Angle Measure: The sum of the internal angles of any triangle is always 180 degrees.
- Types of Triangles:
- **Scalene Triangle:** All angles are different, but they still add up to 180 degrees.
- **Isosceles Triangle:** Two angles are equal, yet the total remains 180 degrees.
- **Equilateral Triangle:** All three angles are equal (60 degrees each), totaling 180 degrees.
- Geometric Proof:
- If you draw a line parallel to one side of the triangle through the opposite vertex, the alternate interior angles formed will demonstrate that the sum of the angles equals 180 degrees.
- Real-Life Applications: Understanding the angle sum property is crucial in various fields like architecture, engineering, and design, where precise measurements are essential.
In conclusion, the answer to the question about the total measure of the three angles of a triangle is indeed **180 degrees**, making option 'A' the correct choice. This property is a cornerstone of triangle geometry and is essential for various mathematical applications.
In geometry, one of the fundamental properties of triangles is the total measure of their internal angles. This principle applies to all types of triangles, whether they are scalene, isosceles, or equilateral.
Key Points about Triangle Angles:
- Total Angle Measure: The sum of the internal angles of any triangle is always 180 degrees.
- Types of Triangles:
- **Scalene Triangle:** All angles are different, but they still add up to 180 degrees.
- **Isosceles Triangle:** Two angles are equal, yet the total remains 180 degrees.
- **Equilateral Triangle:** All three angles are equal (60 degrees each), totaling 180 degrees.
- Geometric Proof:
- If you draw a line parallel to one side of the triangle through the opposite vertex, the alternate interior angles formed will demonstrate that the sum of the angles equals 180 degrees.
- Real-Life Applications: Understanding the angle sum property is crucial in various fields like architecture, engineering, and design, where precise measurements are essential.
In conclusion, the answer to the question about the total measure of the three angles of a triangle is indeed **180 degrees**, making option 'A' the correct choice. This property is a cornerstone of triangle geometry and is essential for various mathematical applications.
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The total measure of the three angles of a triangle is _____.a)180°b)90°c)80°d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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The total measure of the three angles of a triangle is _____.a)180°b)90°c)80°d)None of theseCorrect answer is option 'A'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The total measure of the three angles of a triangle is _____.a)180°b)90°c)80°d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The total measure of the three angles of a triangle is _____.a)180°b)90°c)80°d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
The total measure of the three angles of a triangle is _____.a)180°b)90°c)80°d)None of theseCorrect answer is option 'A'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The total measure of the three angles of a triangle is _____.a)180°b)90°c)80°d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The total measure of the three angles of a triangle is _____.a)180°b)90°c)80°d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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