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lubasha [3.4K]
3 years ago
3

Using the diagram below classify the angle pairs as corresponding, alternate interior angles, alternate exterior angles, consecu

tive interior or none.

Mathematics
1 answer:
QveST [7]3 years ago
5 0

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.

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