Question

Can someone help me with this?

Which angles are corresponding angles? Select all that apply.
∠1 and ∠3
∠6 and ∠8
∠2 and ∠8
∠5 and ∠7
∠2 and ∠7
∠3 and ∠6

Answer 1

∠1 and ∠3 , ∠6 and ∠8 , ∠5 and ∠7 are corresponding angles

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.

Answer 2

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