Mathematics
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OpenStudy (anonymous):
ABCD is a parallelogram. Angle A is equal to (4x+5)^degrees and angle D is equal to (x-20)^degrees Find x.
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OpenStudy (anonymous):
OpenStudy (anonymous):
33
39
-8.33
65
OpenStudy (barrycarter):
Hint: alternate interior angles
OpenStudy (anonymous):
would it be a?
OpenStudy (barrycarter):
Could you show how you got that?
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OpenStudy (anonymous):
honestly it was just a guess
OpenStudy (anonymous):
@hartnn ?
hartnn (hartnn):
interior angles are complementary.,hence their sum=90
so 4x+5+x-20=90
can u solve this to get x??
OpenStudy (anonymous):
90-15?
OpenStudy (anonymous):
@hartnn ??
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hartnn (hartnn):
since,u had 5x-15=90
you will not subtract,15
u will add 15 to both sides...
OpenStudy (anonymous):
is it d?
hartnn (hartnn):
is this also guess?
OpenStudy (anonymous):
do i add 15 to 4x??
hartnn (hartnn):
5x-15=90
adding 15 to both sides,will give
5x=90+15=105
so x=105/5=??
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OpenStudy (anonymous):
21
OpenStudy (anonymous):
thats not a answer choice
OpenStudy (anonymous):
@hartnn
hartnn (hartnn):
oh,ok.it should be 180
5x=180+15
5x=195
x=195/5=39
is 39 an option??
OpenStudy (anonymous):
yes thats b..i posted the choices up top
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hartnn (hartnn):
oh,ok
sorry for the mistake
interior angles are supplementary.,hence their sum=180
so 4x+5+x-20=180.............
OpenStudy (anonymous):
so 39 is indeed correct?..
hartnn (hartnn):
yup :)
OpenStudy (anonymous):
thanks! :)
hartnn (hartnn):
welcome :)