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Prove that the bisectors of the angles of a linear pair are at right angles?
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Prove that the bisectors of the angles of a linear pair are at right a...
In the figure ∠ACD and ∠BCD form a linear pair ⇒∠ACD+∠BCD=180degree
CE and CF bisect ∠ACD and ∠BCD respectively
∠ACD+∠BCD=180degree
⇒∠ACD/2 + ∠BCD/2 = 90degree
⇒∠ECD + ∠DCF = 90degree as CE and CF bisect ∠ACD and ∠BCD respectively
⇒∠ECF = 90degree (∠ECD + ∠DCF = ∠ECF)
∠ECF is the angle between CE and CF which bisect the linear pair of angles ∠ACD and ∠BCD
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Most Upvoted Answer
Prove that the bisectors of the angles of a linear pair are at right a...
Sum of Angles formed by linear pair=180...If it is bisected...Both angles will equal to 90...
Community Answer
Prove that the bisectors of the angles of a linear pair are at right a...
Let AB is a straight line.
And,OC bisect the line AB.
Then,
As it bisect the angle,
So ,angle AOC = angle BOC
Now,we know that ,sum of linear pair angle is 180 degree .
so,angle AOC + angle BOC = 180 degree.
2(angle AOC)= 180 degree.
angle AOC = 90 degree.
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Prove that the bisectors of the angles of a linear pair are at right angles?
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Prove that the bisectors of the angles of a linear pair are at right angles? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Prove that the bisectors of the angles of a linear pair are at right angles? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Prove that the bisectors of the angles of a linear pair are at right angles?.
Prove that the bisectors of the angles of a linear pair are at right angles? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Prove that the bisectors of the angles of a linear pair are at right angles? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Prove that the bisectors of the angles of a linear pair are at right angles?.
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