Help with Geometry proof (1 Viewer)

[awaitingtrain]

Hey everyone, I've been doing some extra geometry exercises for 2U over the weekend and I'm stuck on these two questions that don't have line labels..
I've already figured out the answers I just need to know how to write my proofs for th working..

Help would be appreciated!

They ask you to fing the value of the pronumeral with proof for each step of your working.

(see attatched file)

 

[SeCKSiiMiNh]

its easy. extend the the two lines so you'll end up with 2 alternate angles. then work from there

like, where "x" is,

 

[SeCKSiiMiNh]

was that too confusing?^

 

[sexisash]

Construct a line parallel to the other two through x.

Now x = 12 + 49 (alternate angles with parallel lines, adjacent angles)
so x = 61 degrees

 

[awaitingtrain]

OOOOHHH!!!! thankyou.. sorry about the late reply but i've been dying with my homework, work and extra curricular stuff...
Thanks heaps