Question

Parallel Lines and TransversalsFor questions 1 through 7. state each transversal that forms each pair of angles. Then identify the specialname for each angle pair.1. 26 and 272.2 216 and 22876/53. <13 and 251129 ho16154 28 and 2101413Pm5. 24 and 28

Answer 1

From the present question, we can say taht the lines p, q, l, and m are not parallel.

From this, let's analyze each given pair of angles.

1) Angles 6 and 7;

The transversal line is q

These are consecutive interior angles.

2) Angles 16 and 2;

The transversal line is L

These are alternate exterior angles.

3) Angles 13 and 5;

The transversal line is m.

These are corresponding angles.

4) Angles 8 and 10;

The transversal line is L

These are alternate interior angles.

5) Angles 4 and 8;

The transversal line is q

These are alternate exterior angles.

6) if angle 8 is 100°, we conclude that angle 10 is not 100°, because the alternate interior angles are equal only if the lines Q and P are parallel.

7) If angle 8 is 100°, angle 8 is also 100°, because Vertical Angles always have the same value.