Class 8 Exam  >  Class 8 Questions  >  The four angles of a quadrilateral are in the... Start Learning for Free
The four angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. Then what is the difference between largest and smallest angle of the quadrilateral?
  • a)
    80°
  • b)
    100°
  • c)
    110°
  • d)
    120°
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The four angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. The...
Let the angles are 2x, 3x, 5x, 8x.
∴ 2x + 3x + 5x + 8x = 360°
⇒ 18x = 360° ⇒ x = 20°
2x = 2 × 20° = 40°; 3x = 3 × 20° = 60°
5x = 5 × 20° = 100°; 8x = 8 × 20° = 160°
Required difference = 160° - 40° = 120°.
Free Test
Community Answer
The four angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. The...
Let the angles of the quadrilateral be 2x, 3x, 5x, and 8x.

The sum of the angles of a quadrilateral is 360 degrees, so we have the equation:
2x + 3x + 5x + 8x = 360
18x = 360
x = 20

The largest angle is 8x = 8(20) = 160 degrees.
The smallest angle is 2x = 2(20) = 40 degrees.

The difference between the largest and smallest angles is 160 - 40 = 120 degrees.

Therefore, the difference between the largest and smallest angle of the quadrilateral is 120 degrees.
Explore Courses for Class 8 exam
Question Description
The four angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. Then what is the difference between largest and smallest angle of the quadrilateral?a)80°b)100°c)110°d)120°Correct answer is option 'D'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The four angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. Then what is the difference between largest and smallest angle of the quadrilateral?a)80°b)100°c)110°d)120°Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The four angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. Then what is the difference between largest and smallest angle of the quadrilateral?a)80°b)100°c)110°d)120°Correct answer is option 'D'. Can you explain this answer?.
Solutions for The four angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. Then what is the difference between largest and smallest angle of the quadrilateral?a)80°b)100°c)110°d)120°Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 8. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of The four angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. Then what is the difference between largest and smallest angle of the quadrilateral?a)80°b)100°c)110°d)120°Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The four angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. Then what is the difference between largest and smallest angle of the quadrilateral?a)80°b)100°c)110°d)120°Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The four angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. Then what is the difference between largest and smallest angle of the quadrilateral?a)80°b)100°c)110°d)120°Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The four angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. Then what is the difference between largest and smallest angle of the quadrilateral?a)80°b)100°c)110°d)120°Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The four angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. Then what is the difference between largest and smallest angle of the quadrilateral?a)80°b)100°c)110°d)120°Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 8 tests.
Explore Courses for Class 8 exam

Top Courses for Class 8

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev