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Mathematics 21 Online
OpenStudy (rebeleco518):

any smarties up late? need help now please!

jagr2713 (jagr2713):

Question

OpenStudy (rebeleco518):

sorry, couldn't figure out how to post pic

jagr2713 (jagr2713):

click attach file and find it and post it

OpenStudy (rebeleco518):

jimthompson5910 (jim_thompson5910):

Hint: AA theorem

ganeshie8 (ganeshie8):

assuming JKM and HKL are straight lines, do you see any similar triangles there ?

OpenStudy (rebeleco518):

jim_thompson5910?

OpenStudy (rebeleco518):

I'm rather confused right now

jimthompson5910 (jim_thompson5910):

angle HJK = 65 angle KLM = 65 so angle HJK = angle KLM

jimthompson5910 (jim_thompson5910):

what other pair of angles are congruent?

OpenStudy (rebeleco518):

all of the angles are the same, right?

jimthompson5910 (jim_thompson5910):

no they aren't

OpenStudy (rebeleco518):

jk&l r the same

jimthompson5910 (jim_thompson5910):

what kind of angles are angle JKH and angle LKM ?

OpenStudy (rebeleco518):

j&l=65 k=90 h&m=unknown

jimthompson5910 (jim_thompson5910):

|dw:1412392022245:dw|

jimthompson5910 (jim_thompson5910):

Assuming HKL & JKM are straight angles, then these two angles are vertical angles |dw:1412392114684:dw|

jimthompson5910 (jim_thompson5910):

so, angle JKH = angle LKM by the vertical angle theorem

OpenStudy (rebeleco518):

what i really don't get is what these signs mean...|dw:1412392201112:dw|

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