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  1. Draw || m and t is a transversal passing through parallel lines and mark its angles as
    28. Write all pairs of:
    21. 22, 23,
    (i) corresponding angles
    (iii) co-interior angles
    (ii) alternate interior angles
    (iv) vertically opposite angles
    ​please answer

Verified Answer :

Answer:. Alternate Interior Angles:

Step-by-step explanation:Sure, let's start by drawing the diagram:

``

            ___________________   m

           |                   |  /

           |                   | /

           |                   |/

           |                   |t

           |                   |

           |                   |

           |                   |

           |___________________|

``

In the diagram, \( m \) and \( t \) are parallel lines, and \( t \) is a transversal passing through them.

Now, let's mark the angles:

- Angle \( \angle 21 \) (Interior angle on the same side as \( \angle 22 \))

- Angle \( \angle 22 \) (Interior angle on the same side as \( \angle 21 \))

- Angle \( \angle 23 \) (Exterior angle on the same side as \( \angle 21 \))

- Angle \( \angle 28 \) (Exterior angle on the same side as \( \angle 22 \))

Now, let's write down all pairs of angles:

1. Corresponding Angles:

  - \( \angle 21 \) and \( \angle 22 \)

  (These are on the same side of the transversal \( t \) and on the same side of the parallel lines \( m \))

2. Alternate Interior Angles:

  - \( \angle 21 \) and \( \angle 28 \)

  (These are on opposite sides of the transversal \( t \) and between the parallel lines \( m \))

  - \( \angle 22 \) and \( \angle 23 \)

  (These are on opposite sides of the transversal \( t \) and between the parallel lines \( m \))

That's it! These are the pairs of angles formed when a transversal intersects parallel lines.

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