Question

When two parallel lines are intersected by a transversal......... angles are formed.​

Answer 1

Answer:

There are eight angles that are formed when a transversal intersects two parallel lines.

Explanation:

• When two parallel lines are intersected by a transversal, eight angles are formed.
• Transversal can be defined as a line that passes through two lines.

• There are many different angles formed by a transversal. For example vertically opposite angles, alternate interior angles, exterior angles, etc.

• Parallel lines can be defined as two lines that never meet each other. They do not intersect at any point.
• When a transversal passes through two parallel lines eight angles are formed.

Answer 2

Answer:

When two parallel lines are intersected by a transversal, eight angles are formed

Step-by-step explanation:

When two parallel lines are intersected by a transversal. The type of angles formed are

1. Corresponding angles

Corresponding angles are the angles in the same relative position, when two parallel lines are cut by a transversal.

There are 4 pairs of corresponding angles are formed when two parallel lines are cut by a transversal and each pair of corresponding angles will be of equal measure.

  2. Alternate interior angles.

The angles formed on the interior of the parallel, but on either side of the transversal are called alternate interior angles

There are two pairs of alternate interior angles are formed when two parallel lines are cut by a transversal, and they will be of equal measure

3. Alternate exterior angles

The angles formed on the exterior of the parallel, but on either side of the transversal are called alternate exterior angles.

There are two pairs of alternate exterior angles are formed when two parallel line are cut by a transversal, and they will be of equal measure

4. Interior angles on the same side of the transversal

There are two pairs of interior angles of the same side is formed when two lines are cut by a transversal, and they are supplementary angles

From the diagram, we can see that three are 8 pairs of angles are formed

Angles (1,6), (2,5),(3,7),(4,8) are four pairs of corresponding angles

we have 1 =6, 2=5, 3 =7 and 4 =8

Angles (4,5) and (3,6) are two pairs of alternate interior angles

we have 4 = 5 and 3 =6

Angles (1,7) and (2,8) are two pairs of alternate exterior angles

we have 1 =7  and 2 =8

Angles (3,5) and (4,6) and interior angles on the same side of the transversal,

and we have 3+5 = 180 and 4+6 = 180

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