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The angle whose complement is one-third of its supplement will be
- a)135°
- b)90°
- c)180°
- d)45°
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The angle whose complement is one-third of its supplement will bea)135...
Let the angle be x
complement of x is (90 − x)°
supplement of x is (180 − x)°
Given (90 − x)° = (1/3) × (180 − x)°
⇒ 270° − 3x = 180°− x
⇒ 270° − 180° = 3x − x
⇒ 2x = 90°
∴ x = 45°
complement of x is (90 − x)°
supplement of x is (180 − x)°
Given (90 − x)° = (1/3) × (180 − x)°
⇒ 270° − 3x = 180°− x
⇒ 270° − 180° = 3x − x
⇒ 2x = 90°
∴ x = 45°
Most Upvoted Answer
The angle whose complement is one-third of its supplement will bea)135...
Let the angle be 'xdegree'Then complement of that angle -- (90- x)degreeSupplement of that angle -- (180 - x)degreeA/Q ---.>90 - x = 1/3( 180 - x)90 - x = 60 - x/3-x + x/3 = 60 - 90[ - 3x + x] / 3 = - 30-2x/3 = -30x = 30 x 3/2x = 45degreeThe required angle is 45degree.
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The angle whose complement is one-third of its supplement will bea)135...
Let the angle is x then its complementry is 90- x ; and supplementry is 180 - x according to the question 90 -x is equal to( 180-x) /3 then 180 -x is equal( 90-x)*3 is equal 180-x equal 270- 3x is equal 270- 180 equal 3x-x equal 90 equal 2x is equal 90/2 equal to x and x equal 45 ans.
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The angle whose complement is one-third of its supplement will bea)135°b)90°c)180°d)45°Correct answer is option 'D'. Can you explain this answer?
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The angle whose complement is one-third of its supplement will bea)135°b)90°c)180°d)45°Correct answer is option 'D'. 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 The angle whose complement is one-third of its supplement will bea)135°b)90°c)180°d)45°Correct answer is option 'D'. 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 The angle whose complement is one-third of its supplement will bea)135°b)90°c)180°d)45°Correct answer is option 'D'. Can you explain this answer?.
The angle whose complement is one-third of its supplement will bea)135°b)90°c)180°d)45°Correct answer is option 'D'. 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 The angle whose complement is one-third of its supplement will bea)135°b)90°c)180°d)45°Correct answer is option 'D'. 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 The angle whose complement is one-third of its supplement will bea)135°b)90°c)180°d)45°Correct answer is option 'D'. Can you explain this answer?.
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