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In a rectangle, what are the measures of the four angles?
- a)30°
- b)60°
- c)90°
- d)120°
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a rectangle, what are the measures of the four angles?a)30°b)60...
A rectangle has four right angles. Each angle in a rectangle measures 90 degrees. The sum of the interior angles of a rectangle is 360 degrees, and since all four angles are equal, each angle is 90 degrees
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In a rectangle, what are the measures of the four angles?a)30°b)60...
Understanding Angles in a Rectangle
In a rectangle, the properties of the angles are fundamental to its definition. Here’s a breakdown of why the correct answer is option 'C'.
Definition of a Rectangle
- A rectangle is a four-sided polygon (quadrilateral) with opposite sides that are equal in length.
- It is characterized by having all interior angles equal.
Measure of Angles
- In any rectangle, each interior angle measures 90 degrees.
- This means that every corner of the rectangle forms a right angle.
Why 90 Degrees?
- The requirement for a rectangle includes that the angles must add up to 360 degrees.
- Since there are four angles in a rectangle, if each angle is 90 degrees, then 90 + 90 + 90 + 90 = 360 degrees.
Comparison with Other Options
- Option 'A' (30 degrees) and option 'B' (60 degrees) cannot form a rectangle, as they do not satisfy the requirement of right angles.
- Option 'D' (120 degrees) also fails because it would result in angles that cannot add up correctly to form the necessary total of 360 degrees.
Conclusion
- Therefore, the only correct measure for the angles in a rectangle is 90 degrees.
- This is why option 'C' is the correct answer. Each angle in a rectangle is a right angle, confirming its classification as a rectangle.
In a rectangle, the properties of the angles are fundamental to its definition. Here’s a breakdown of why the correct answer is option 'C'.
Definition of a Rectangle
- A rectangle is a four-sided polygon (quadrilateral) with opposite sides that are equal in length.
- It is characterized by having all interior angles equal.
Measure of Angles
- In any rectangle, each interior angle measures 90 degrees.
- This means that every corner of the rectangle forms a right angle.
Why 90 Degrees?
- The requirement for a rectangle includes that the angles must add up to 360 degrees.
- Since there are four angles in a rectangle, if each angle is 90 degrees, then 90 + 90 + 90 + 90 = 360 degrees.
Comparison with Other Options
- Option 'A' (30 degrees) and option 'B' (60 degrees) cannot form a rectangle, as they do not satisfy the requirement of right angles.
- Option 'D' (120 degrees) also fails because it would result in angles that cannot add up correctly to form the necessary total of 360 degrees.
Conclusion
- Therefore, the only correct measure for the angles in a rectangle is 90 degrees.
- This is why option 'C' is the correct answer. Each angle in a rectangle is a right angle, confirming its classification as a rectangle.
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In a rectangle, what are the measures of the four angles?a)30°b)60°c)90°d)120°Correct answer is option 'C'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about In a rectangle, what are the measures of the four angles?a)30°b)60°c)90°d)120°Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a rectangle, what are the measures of the four angles?a)30°b)60°c)90°d)120°Correct answer is option 'C'. Can you explain this answer?.
In a rectangle, what are the measures of the four angles?a)30°b)60°c)90°d)120°Correct answer is option 'C'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about In a rectangle, what are the measures of the four angles?a)30°b)60°c)90°d)120°Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a rectangle, what are the measures of the four angles?a)30°b)60°c)90°d)120°Correct answer is option 'C'. Can you explain this answer?.
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