Using the diagram below classify the angle pairs as corresponding, alternate interior angles, alternate exterior angles, consecutive interior or none.

Using the diagram below classify the angle pairs as corresponding alternate interior angles alternate exterior angles consecutive interior or none class=

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Answer:

The corresponding angles in pairs are;

∠1 and ∠5, ∠2 and ∠6, ∠9 and ∠13, ∠10 and ∠14,

∠3 and ∠7, ∠4 and ∠8, ∠11 and ∠15, ∠12 and ∠16

∠1 and ∠3, ∠2 and ∠4, ∠9 and ∠11, ∠10 and ∠12

∠7 and ∠5, ∠8 and ∠6, ∠15 and ∠13, ∠16 and ∠14

The alternate interior angles are;

∠9 and ∠4, ∠10 and ∠3, ∠8 and ∠13, ∠7 and ∠14

∠2 and ∠13, ∠10 and ∠5, ∠4 and ∠15, ∠7 and ∠12

The alternate exterior angles are;

∠1 and ∠12, ∠2 and ∠11, ∠5 and ∠16, ∠6 and ∠15

∠1 and ∠14, ∠9 and ∠6, ∠3 and ∠16, ∠11 and ∠8

Consecutive interior angles

∠9 and ∠3, ∠10 and ∠4, ∠13 and ∠7, ∠14 and ∠8

∠2 and ∠5, ∠10 and ∠13, ∠4 and ∠7, ∠12 and ∠15

None

Some of the angles without specific relations are;

∠1 and ∠4, ∠2 and ∠3, ∠5 and ∠8, ∠6 and ∠7, ∠9 and ∠12, ∠10 and ∠11, ∠13 and ∠16, ∠14 and ∠15, ∠6 and ∠12, ∠5 and ∠11, ∠1 and ∠16, ∠2 and ∠15, ∠1 and ∠8, ∠2 and ∠12, ∠9 and ∠7, ∠10 and ∠8

Step-by-step explanation:

Corresponding angles are angles on the same side of two lines that are crossed by a given transversal

Alternate interior angles are angles on the inner but opposite sides of two lines crossed by a transversal

Alternate exterior angles are angles on the outer but opposite sides of two lines crossed by a transversal

Consecutive interior angles are angles that are next to each other on the same side of the transversal and in between the two lines.