Prove || lines › Alt Ext angles congruence

Question

please HELP! THis is due tommorow!!

Answer 1

Hey Kasym, even though it's late, here is the example picture of alternate exterior angle is congruent:

 

 

 

 

 

 

 

 

K and L are parallel and cut be transversal, then alternate exterior angles are congruent.

 

Angel JFO & KFG are congruent (vertical angle theorem)

Angle KFG & LGM are congruent (If 2 parallel lines are cut-off by transversal, then corresponding angles are congruent).

Therefore:  Angle JFO & LGM are congruent.

 

In conclusion, alternate exterior angles are congruent.

 

I hope you understood.  Good luck to you.

 

Yohan Chu   (LV  NV)