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Angles of a quadrilateral are in the ratio 3 : 6 : 8: 13. The largest angle is :
- a)178°
- b)156°
- c)90°
- d)36°
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Angles of a quadrilateral are in the ratio 3 : 6 : 8: 13. The largest ...
3p + 6p + 8p + 13p = 30p = 360° ⇒ p
= 12° Largest angle is 13p = 13 × 12°
= 156°
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Angles of a quadrilateral are in the ratio 3 : 6 : 8: 13. The largest ...
Understanding Quadrilateral Angles
A quadrilateral has four angles, and the sum of these angles is always 360 degrees. In this problem, the angles are given in the ratio of 3:6:8:13.
Calculating the Sum of the Ratio Parts
- First, we add the parts of the ratio together:
- 3 + 6 + 8 + 13 = 30.
Finding the Value of Each Part
- Since the total sum of the angles in a quadrilateral is 360 degrees, we can find the value of one part:
- Value of one part = Total degrees / Sum of ratio parts
- Value of one part = 360 / 30 = 12 degrees.
Calculating Each Angle
- Now, we can calculate each angle by multiplying the value of one part by the respective ratio:
- First angle = 3 * 12 = 36 degrees
- Second angle = 6 * 12 = 72 degrees
- Third angle = 8 * 12 = 96 degrees
- Fourth angle = 13 * 12 = 156 degrees
Identifying the Largest Angle
- From the calculated angles:
- 36 degrees
- 72 degrees
- 96 degrees
- 156 degrees
- The largest angle is clearly 156 degrees.
Conclusion
The largest angle in the quadrilateral, based on the given ratio, is 156 degrees. Thus, the correct answer is option 'B'.
A quadrilateral has four angles, and the sum of these angles is always 360 degrees. In this problem, the angles are given in the ratio of 3:6:8:13.
Calculating the Sum of the Ratio Parts
- First, we add the parts of the ratio together:
- 3 + 6 + 8 + 13 = 30.
Finding the Value of Each Part
- Since the total sum of the angles in a quadrilateral is 360 degrees, we can find the value of one part:
- Value of one part = Total degrees / Sum of ratio parts
- Value of one part = 360 / 30 = 12 degrees.
Calculating Each Angle
- Now, we can calculate each angle by multiplying the value of one part by the respective ratio:
- First angle = 3 * 12 = 36 degrees
- Second angle = 6 * 12 = 72 degrees
- Third angle = 8 * 12 = 96 degrees
- Fourth angle = 13 * 12 = 156 degrees
Identifying the Largest Angle
- From the calculated angles:
- 36 degrees
- 72 degrees
- 96 degrees
- 156 degrees
- The largest angle is clearly 156 degrees.
Conclusion
The largest angle in the quadrilateral, based on the given ratio, is 156 degrees. Thus, the correct answer is option 'B'.
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Angles of a quadrilateral are in the ratio 3 : 6 : 8: 13. The largest angle is :a)178°b)156°c)90°d)36°Correct answer is option 'B'. Can you explain this answer?
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Angles of a quadrilateral are in the ratio 3 : 6 : 8: 13. The largest angle is :a)178°b)156°c)90°d)36°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 Angles of a quadrilateral are in the ratio 3 : 6 : 8: 13. The largest angle is :a)178°b)156°c)90°d)36°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 Angles of a quadrilateral are in the ratio 3 : 6 : 8: 13. The largest angle is :a)178°b)156°c)90°d)36°Correct answer is option 'B'. Can you explain this answer?.
Angles of a quadrilateral are in the ratio 3 : 6 : 8: 13. The largest angle is :a)178°b)156°c)90°d)36°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 Angles of a quadrilateral are in the ratio 3 : 6 : 8: 13. The largest angle is :a)178°b)156°c)90°d)36°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 Angles of a quadrilateral are in the ratio 3 : 6 : 8: 13. The largest angle is :a)178°b)156°c)90°d)36°Correct answer is option 'B'. Can you explain this answer?.
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