Question

state and prove alternate angle test​

Answer 1

Answer:

Since k∥l , by the Corresponding Angles Postulate ,

∠1≅∠5 .

Therefore, by the definition of congruent angles ,

m∠1=m∠5 .

Since ∠1 and ∠2 form a linear pair , they are supplementary , so

m∠1+m∠2=180° .

Also, ∠5 and ∠8 are supplementary, so

m∠5+m∠8=180° .

Substituting m∠1 for m∠5 , we get

m∠1+m∠8=180° .

Subtracting m∠1 from both sides, we have

m∠8=180°−m∠1           =m∠2 .

Step-by-step explanation: