prove that the bisectors of the angles of a linear pair are at right angles
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the bisector will devide the angle in two equal parts. thus each part will he equal to 90 degree
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HEY BUDDY HERE IS UR ANSWER !!!!
Given : In triangle ABC ,
AD bisects the triangle such that angle ADB = angle ADC
To prove that : the bisectors of the angles of a linear pair are at right angles.
Construction : Join AD
Proof :
In triangle ADB and triangle ADC
AD = AD (common)
angle ADB = angle ADC
BD = DC (AD is bisector)
triangle ADB congruent triangle to ADC
By CPCT ,
AB = AC
BC is line such that
sum of line is equal to 180 .
Here Angle ADB = Angle ADC
so ADB + ADC = 180°
》ADB = ADC = 90°
Hence proved ,,
Given : In triangle ABC ,
AD bisects the triangle such that angle ADB = angle ADC
To prove that : the bisectors of the angles of a linear pair are at right angles.
Construction : Join AD
Proof :
In triangle ADB and triangle ADC
AD = AD (common)
angle ADB = angle ADC
BD = DC (AD is bisector)
triangle ADB congruent triangle to ADC
By CPCT ,
AB = AC
BC is line such that
sum of line is equal to 180 .
Here Angle ADB = Angle ADC
so ADB + ADC = 180°
》ADB = ADC = 90°
Hence proved ,,
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