Mathematics
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OpenStudy (anonymous):
In the following figure, AF is the perpendicular bisector of DN. What is the measure of angle ADF?
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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
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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 ???
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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
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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
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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.
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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 ??
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OpenStudy (anonymous):
yes thank you
OpenStudy (mayankdevnani):
good and welcome :)