Question

For this section, using the diagram below, classify the angle pairs as

corresponding, alternate interior, alternate exterior, same side interior, same side
exterior, or none.

•Angle 1 and Angle 11= ?
•Angle 1 and Angle 6= ?
•Angle 12 and Angle 15=?

Answer 1

All three angle pairs in the diagram you sent are same-side exterior angles. Same-side exterior angles are supplementary angles, meaning that their sum is 180 degrees.

Angle 1 and Angle 11: Same-side exterior angles

Same-side exterior angles are a pair of angles that lie on the same side of a transversal and outside of two parallel lines. They are formed when a transversal intersects two parallel lines. In the diagram you sent, Angle 1 and Angle 11 are same-side exterior angles.

Angle 1 and Angle 6: Same-side exterior angles

Angle 1 and Angle 6 are also same-side exterior angles. They lie on the same side of the transversal (line l) and outside of the two parallel lines (line m and line n).

Angle 12 and Angle 15: Same-side exterior angles

Angle 12 and Angle 15 are also same-side exterior angles. They lie on the same side of the transversal (line l) and outside of the two parallel lines (line m and line n).

Relationship between same-side exterior angles

Same-side exterior angles are supplementary angles, meaning that their sum is 180 degrees. This is because the two angles lie on the same side of a transversal and outside of two parallel lines, forming a straight angle.

Examples of same-side exterior angles in the real world

Same-side exterior angles can be found in many real-world situations, such as:

The angles formed when a railroad track crosses a road

The angles formed when a highway overpass crosses a road

The angles formed when a power line crosses a road

Answer 2

Answer/Step-by-step explanation:

Angle 1 and angle 11 = none

No special relation between both angles.

Angle 1 and angle 6 = none

Both angles also do not have any special relationship

Angle 12 and angle 15 = same side interior

Angle 12 and angle 15 both interior angles that lie on the same side of the transversal that cuts across two straight lines. They are supplementary.