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Mathematics 15 Online
OpenStudy (anonymous):

In the following figure, AF is the perpendicular bisector of DN. What is the measure of angle ADF?

OpenStudy (anonymous):

15 65 90 115

OpenStudy (mayankdevnani):

what do you think ?? @amberk123

OpenStudy (anonymous):

i will think it will be 90

OpenStudy (mayankdevnani):

no

OpenStudy (mayankdevnani):

see:- AF is perpendicular angle Bisector,so angle AFN=90 degrees.

OpenStudy (mayankdevnani):

correct ????

OpenStudy (anonymous):

correct

OpenStudy (mayankdevnani):

good

OpenStudy (mayankdevnani):

can you find out angle FAN ???

OpenStudy (mayankdevnani):

@amberk123

OpenStudy (mayankdevnani):

use ANGLE SUM PROPERTY

OpenStudy (anonymous):

i am working on it

OpenStudy (mayankdevnani):

okk

OpenStudy (anonymous):

i got 180 but i think that is wrong

OpenStudy (anonymous):

i will re do it

OpenStudy (mayankdevnani):

its wrong!!!

OpenStudy (mayankdevnani):

angle AFN+angle ANF+angle FAN=180 angle FAN+90+65=180

OpenStudy (mayankdevnani):

so what is the value of angle FAN ???

OpenStudy (mayankdevnani):

noo

OpenStudy (mayankdevnani):

angle FAN=180-65-90=25 degrees

OpenStudy (anonymous):

so the answer is 90

OpenStudy (mayankdevnani):

no...angle FAN=25 degrees

OpenStudy (anonymous):

i know

OpenStudy (mayankdevnani):

angle DAf=angle FAN=25 degrees because AF is perpendicular bisector and it will bisect the angle DAN.

OpenStudy (mayankdevnani):

understood ??

OpenStudy (anonymous):

What is the measure of angle ADF

OpenStudy (mayankdevnani):

angle ADF+angle DFA+angle FAD=180 angle ADF+90+25=180 angle ADF=180-25-90=65 So,angle ADF=65 degrees

OpenStudy (mayankdevnani):

use angle sum property in triangle AFD .

OpenStudy (mayankdevnani):

understood ??

OpenStudy (anonymous):

yes thank you

OpenStudy (mayankdevnani):

good and welcome :)

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