Math, asked by abyn, 1 year ago

prove that the bisectors of the angles of a linear pair are at right angles

Answers

Answered by kanha005
2

180 \div 2 = 90

the bisector will devide the angle in two equal parts. thus each part will he equal to 90 degree

Answered by Sweetbuddy
5
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 ,,

BE BRAINLY





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