MEDAL TO CORRECT ANSWER WITH EXPLANATION

Question

anonymous · Answer

attachment

roadjester · Answer

the first thing you need to know is which angles are equal
you have two parallel lines cut by a transvesal
that means that you have corresponding angles
you have a horizontal line with three angles; horizontal lines are 180 degrees, so the sum of any number of angles is 180

anonymous · Answer

since the lines are parallel the corresponding angles will have the same measure. 
so you write the equation:
x-3+46+y-3=180
65-3+46+y-3=180
105+y=180 
y=75 

then you find x by plugging in the value of y
x-3+46+75-3=180 
115+x=180
x=65 

hope i helped!

roadjester · Answer

@zoobie shouldn't x=68, y=72

anonymous · Answer

@roadjester how? sorry, can you explain, because i solved it and thats what comes out to be the answer

roadjester · Answer

@zoobie hmm, ok x-3=65 due to corresponding angles, so x=68

anonymous · Answer

ohhh alright!!

roadjester · Answer

then you set (x-3)+46+(y-3) equal to 180
you have x already so
(68-3)+46+(y-3)=180
y=72

I may be mistaken, since i'm in the middle of something