Question

What are the 4 major types of special Angle Pairs formed by Parallel Lines and Transversals? 20 points Vertical Angles, Angle Bisectors, Linear Pairs, Perpendicular Bisectors Alternate Interior, Corresponding, Consecutive Interior, Alternate Exterior Straight, Acute, Obtuse, Right Adjacent Angles, Supplementary Angles, Complementary Angles, Opposite Angles

Answer 1

Alternate Interior, Corresponding, Consecutive Interior, Alternate Exterior

Explanation:

When a transversal cuts across two parallel lines, there are 4 major types of special angles that are formed as shown in the attachment below. They are:

1. Alternate interior angle pairs are angles that are positioned inside the two parallel lines but lie on opposite sides of the transversal that cuts across the two parallel lines.

In the figure attached below, the alternate exterior angle pairs are labelled:

<3 and <6;

<4 and 5

2. Corresponding angles: these are angle pairs that are lie in the same position of the transversal, one interior, and the other exterior to a parallel lines respectively.

In the figure attached below: the following are corresponding angles pairs:

<1 and <5;

<2 and 6;

<3 and <7;

<4 and <8

3. Consecutive Interior angle pairs: these are angles that lie in the same side of the transversal and also found opposite each other within the parallel lines.

They are labelled:

<3 and <5;

<4 and <6

4. Alternate exterior angle pairs are angles that are positioned outside of the two parallel lines but lie on opposite sides of the transversal that cuts across the two parallel lines.

They are labelled:

<1 and <8;

<2 and <7;