Find E
A. 60°
B. 100°
C. 120°
D. not enough information
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OpenStudy (anonymous):
OpenStudy (anonymous):
which one do you think it is?
OpenStudy (anonymous):
D
OpenStudy (anonymous):
No it's A
OpenStudy (welshfella):
why do you think its A?
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OpenStudy (anonymous):
All congruent 60 = 180
OpenStudy (anonymous):
360-60=300 then you divide by 3
OpenStudy (anonymous):
which is B
OpenStudy (welshfella):
oops i missed that
the other 3 are congruent yes
but E is not = A .
if they all add up to 360
then the other 3 add up to 360-60 = 300 degrees
OpenStudy (welshfella):
and these 3 are congruent so what is the values of each of them?
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OpenStudy (anonymous):
100
OpenStudy (welshfella):
yes 300/3 = 100
OpenStudy (owlcoffee):
There is a very interesting propert when it comes to cuadrlaterals, wich is that any pair of opposite angles are supplementary angles, wich means they sum up to 180 degrees.
So, let's take for instance the line CF and extend it, wich will mean that <c+<F=180
thereby <f=120 degree.
Applying the property that i stated above, that must mean that <C + <E=180
and <F+<D=180.
But we are only interested in the angle <E:
\[<C+<E = 180\]
\[60+<E=180\]
\[<E=120\]