The figure below shows a transversal t which intersects the parallel lines AB and CD.

Write a paragraph to prove that the sum of the measures of angle 1 and angle 2 is equal to 180°.

Question

The figure below shows a transversal t which intersects the parallel lines AB and CD. 
 


Write a paragraph to prove that the sum of the measures of angle 1 and angle 2 is equal to 180°.

anonymous · Answer

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0908_14/image0044e7349ab.jpg

anonymous · Answer

Please help!!!

anonymous · Answer

do you have a pic or diagram of some kind...

anonymous · Answer

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0908_14/image0044e7349ab.jpg

anonymous · Answer

off topic but i do flvs too...

anonymous · Answer

When a transversal intersect two parallel lines then the adjacent angles are always same....

cwrw238 · Answer

angle 2  = angle 3 (alternate angles)
angle 1 + angle 3 = 180 degrees ( 2 angles on a straight line)
therefore   angle 1 + angle 2 = 180 degrees

anonymous · Answer

Ok!!! Nice to know!!! XD

anonymous · Answer

the flvs part, I mean

anonymous · Answer

start with 1 and 3 and supplementary. 

then show the alternate interior to 1 

then you have 1 + 2 are supplementary. 

you could show the corresponding angle to 1 then 1 + 2 are supplementary on the transversal. 

2 is interior alternate to 3 then 1 + 3 are supplementary

anonymous · Answer

Ok, I will.

anonymous · Answer

:)

anonymous · Answer

ang 3 congr ang 2-------------------------> alt int angs
ang 1 and ang 3 supplemantary----------> they are adjacent and form a linear pair
ang 1 and ang 2 are supp--------------> substitution prop (3=2; 1+3=180; so 1+2=180 )

anonymous · Answer

Thank you so much!!!! You are such a lifesaver!!!!

anonymous · Answer

well thats all i know... soo good luck on ur test/quiz thing!! lol!! ;p

anonymous · Answer

Thank you!!!!!

anonymous · Answer

your welcome :D