JKLM is an inscribed quadrilateral whose diagonals intersect at G. Segment JK is parallel to segment ML, as shown below.
Prove that if angle LKM is 85° and angle KML is 25°, then angle KLJ is 45°. Write a two-column proof showing statements and reasons
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OpenStudy (anonymous):
OpenStudy (anonymous):
some one plz help
OpenStudy (anonymous):
hheellpp
OpenStudy (precal):
attach it as a jpeg file
OpenStudy (precal):
I can not open the file for some reason.
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
OpenStudy (precal):
the triangle inside can not be 180 degrees
@dpaInc Do you love geometry more than I love geometry?
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
??
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terenzreignz (terenzreignz):
Can JK really be parallel to ML?
OpenStudy (anonymous):
it is parallel to ML
terenzreignz (terenzreignz):
oh ok, I misread it, my bad
OpenStudy (precal):
the arrows I believe tell us they are
OpenStudy (anonymous):
<LJK is 25 also since they intercept the same arc...
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
<MKJ = 25 because of alternate interior angles...
OpenStudy (anonymous):
<LKJ = <LKM + <MKJ
<LKJ = (85) + (25)
<LKJ = 110
OpenStudy (anonymous):
<KLJ + <LKJ +<KJL = 180
plug in those known values and you prove that <KLJ = 45