Respuesta :
Answer:
∠1 and ∠8 are alternate exterior angles
∠4 and ∠6 are same side interior angles
∠3 and ∠6 are alternate interior angles
Step-by-step explanation:
Verify each case
case 1) ∠1 and ∠8 are alternate exterior angles
The relationship is correct
case 2) ∠4 and ∠6 are same side interior angles
The relationship is correct
case 3) ∠5 and ∠7 are vertical angles
The relationship is incorrect
Because ∠5 and ∠7 are supplementary angles
case 4) ∠2 and ∠8 are corresponding angles
The relationship is incorrect
case 5) ∠3 and ∠6 are alternate interior angles
The relationship is correct
Answer:
A) ∠1 and ∠8 are alternate exterior angles
B) ∠4 and ∠6 are same side interior angles
E) ∠3 and ∠6 are alternate interior angles
Step-by-step explanation:
Let's check the each options.
A) ∠1 and ∠8 are alternate exterior angles
The exterior angles are ∠1, ∠2, ∠7 and ∠8.
This is correct.
B) ∠4 and ∠6 are same side interior angles.
∠4 and ∠6 are inside the line m and n, they are in the same side, you can see it on the figure.
This is correct
C) ∠5 and ∠7 are vertical angles
∠5 and ∠7 are supplementary angles.
This is not correct.
D) ∠2 and ∠8 are corresponding angles
These are same side of exterior angles.
This is not correct.
E) ∠3 and ∠6 are alternate interior angles
These are interior angles and alternative to each other.
This is correct.