Statement Reason 1
WY
∥
TV
Given
2 ∠YXZ≅∠VUX
Angles forming a linear pair sum to 180°
Converse of Corresponding Angles Postulate
Corresponding Angles Postulate
Definition of supplementary angles
Vertical Angle Theorem
3 m∠SUV+m∠VUX=180° Angles forming a linear pair sum to 180°
4 m∠SUV+m∠YXZ=180° Substitution

At the "no mutants allowed" country farm, every sheep has 4 legs, every chicken has two legs, and all animals have only 1 head. asked to count how many sheep and chicken are in the fields, a farm boy reports back that there are 140 feet and 50 heads. how many sheep and chicken are there? there are sheep and chicken at the farm.