Respuesta :
If you were to think of this diagram as a map of intersecting roads, corresponding angles are the ones on the same corner:
NW corner: ∠1 and ∠3
NE corner: ∠5 and ∠7
SE corner: ∠6 and ∠8
SW corner: ∠2 and ∠4
The choices in bold font above are the only pairs of corresponding angles that are in your answer list:
- ∠1 and ∠3
- ∠5 and ∠7
- ∠6 and ∠8
Answer:
∠1 and ∠3 , ∠6 and ∠8 , ∠5 and ∠7 are corresponding angles
Step-by-step explanation:
Corresponding Angles are angles which occupy same relative position at intersection when a line intersects two lines.
In pair of corresponding angles, one angle is interior angle and other one is exterior angle.
Option 1:
∠1 is exterior angle and ∠3 is interior angle. Also Both are at relatively same position.
Thus they are Corresponding angles.
Option 2:
∠6 is interior angle and ∠8 is exterior angle. Also Both are at relatively same position.
Thus they are Corresponding angles.
Option 3:
∠2 and ∠8 both are exterior angle.
Thus they are not Corresponding angles.
Option 4:
∠5 is interior angle and ∠7 is exterior angle. Also Both are at relatively same position.
Thus they are Corresponding angles.
Option 5:
∠2 and ∠7 both are exterior angles.
Thus they are not corresponding angles.
Option 6:
∠3 and ∠6 both are interior angles.
Thus they are not corresponding angles.