<6 and <7
A Alternate Exterior Angles
B Same-side interior angles
C Corresponding Angles
D Alternate interior angles
C Corresponding angles
When two lines are intersected by a transversal, several pairs of angles are formed. Let's discuss the different types of angles that are formed in this scenario:
A) Alternate Exterior Angles: These are the pairs of angles that lie on opposite sides of the transversal and are located outside the two lines. If the lines intersected by the transversal are <6 and <7, then the alternate exterior angles would be <6 and <7.
B) Same-side Interior Angles: These angles are also located on the same side of the transversal and are inside the two lines. If the lines intersected by the transversal are <6 and <7, then the same-side interior angles would be <6 and <5, or <7 and <8.
C) Corresponding Angles: These are the pairs of angles that are located on the same side of the transversal but on different lines. If the lines intersected by the transversal are <6 and <7, then the corresponding angles would be <1 and <6, <2 and <7, <3 and <8, <4 and <5.
D) Alternate Interior Angles: These angles are located on opposite sides of the transversal and are inside the two lines. If the lines intersected by the transversal are <6 and <7, then the alternate interior angles would be <4 and <7, or <3 and <6.
So, the options can be summarized as follows:
A) Alternate Exterior Angles: <6 and <7
B) Same-side Interior Angles: <6 and <5, <7 and <8
C) Corresponding Angles: <1 and <6, <2 and <7, <3 and <8, <4 and <5
D) Alternate Interior Angles: <4 and <7, <3 and <6
The given symbols "<6" and "<7" represent angles. To determine the relationship between these angles, we need to understand the different types of angle pairs:
1. Alternate Exterior Angles (A): Alternate exterior angles are formed when a transversal intersects two parallel lines. In this case, the angles are located on the outer side of the parallel lines, and they lie on opposite sides of the transversal.
2. Same-side Interior Angles (B): Same-side interior angles are also formed when a transversal intersects two parallel lines. These angles are located on the inner side of the parallel lines, and they lie on the same side of the transversal.
3. Corresponding Angles (C): Corresponding angles are also formed when a transversal intersects two parallel lines. In this case, the angles are located on the same side of the transversal, but they are in different positions relative to the parallel lines.
4. Alternate Interior Angles (D): Alternate interior angles are formed when a transversal intersects two parallel lines. These angles are located on the inner side of the parallel lines, and they lie on opposite sides of the transversal.
Based on the given symbols "<6" and "<7," we can determine that these angles are Alternate Exterior Angles. This is because the angles are located on the outer side of the parallel lines and they lie on opposite sides of the transversal.
Therefore, the answer is A: Alternate Exterior Angles.