Question

If line T is a transversal of lines I and m, name the angel relationship of the given angle pairs

Answer 1

a.Corresponding angles

b.Alternate exterior angles

c.Consecutive interior angles

Explanation:

a.
`\angle 1,\angle3` are corresponding angles.

• Two angles on the same side of the transversal either below or above of the two lines are corresponding angles.

b.
`\angle 4,\angle8` are alternate exterior angles.

• Pair of angles in which one arm of each of the angles lies on opposite sides of the transversal.

c.
`\angle 2,\angle3` are consecutive interior angles.

Consecutive interior angles are also called co-interior angles.

• Angles which are lying on the same side of a transversal cutting across the the two lines which are parallel.

So the pair of
`1\ and\ 3` are corresponding angles the pair of
`4\ and\ 8` are alternate exterior angles,the pair of
`2\ and\ 3` are consecutive interior angles.