Question

How many pairs of alternate interior angles are formed when two parallel lines are intersected by a transversal? ​

Answer 1

Answer:

2 pairs

Step-by-step explanation:

when the lines are parralel 2 pairs can be formed

hope this helps u

Answer 2

Step-by-step explanation:

Given: How many pairs of alternate interior angles are formed when two parallel lines are intersected by a transversal?

To find: Number of pairs of alternative interior angled.

Solution:

If two parallel lines are intersected by a transversal, then 2 pair of alternate interior angles are formed.

See the attached figure.

Here, f and g are two parallel lines,and a transversal intersected at two points E and C.

8 angles are formed.

Here,

$\angle 3,\angle 4, \angle 5,\angle 6$

are interior angles.

Thus,

2 pairs of alternate interior angles are formed.

These are

$\angle 3,\angle 6\\ \angle 4,\angle 5$

Extra information:

4 pairs of corresponding angles are formed:

$\angle 1,\angle 5\\ \angle 2,\angle 6$

$\angle 3,\angle 7\\ \angle 4,\angle 8$

2 pairs of consecutive interior angles are formed.

These are

$\angle 3,\angle 5\\ \angle 4,\angle 6$

4 pairs of vertically opposite angles are formed:

$\angle 1,\angle 4\\ \angle 2,\angle 3$

$\angle 5,\angle 8\\ \angle 6,\angle 7$

Final answer:

2 pairs of alternate interior angles are formed.

Hope it helps you.

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