Class 9 Exam > Class 9 Questions > Angles of a quadrilateral are in the ratio 3 ...
Start Learning for Free
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°
Most Upvoted Answer
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'.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily