Name the angle pairs. 4/2 3 1/3 42 A: B: alternate same-side Interior exterior D: answer choices C: same-side Interior G: E: obtuse angle pairs H: alternate corres- exterior ponding vertical F: adjacent angle pairs I: complem-
A: same-side interior
B: corresponding
C: alternate exterior
D: alternate interior
E: vertical
F: adjacent
G: obtuse angle pairs
H: corresponding
I: complementary
Let's sort the given angle pairs into their respective categories:
A: Same-side interior angle pairs (angles on the same side of the transversal line, inside the parallel lines)
B: Alternate exterior angle pairs (angles on opposite sides of the transversal line, outside the parallel lines)
C: Same-side interior angle pairs
D: Answer choices
E: Obtuse angle pairs (angles that are greater than 90 degrees)
F: Adjacent angle pairs (angles that share a common vertex and side)
G: Exterior angle pairs (the sum of one exterior angle and one interior angle is always 180 degrees)
H: Alternate corresponding angle pairs (corresponding angles that are on opposite sides of the transversal line)
I: Complementary angle pairs (two angles whose sum is 90 degrees)
Please note that the angle pairs mentioned above are general categories and may not necessarily correspond to the given numerical values (4/2, 3, 1/3, 42) without further context.
To name the angle pairs in a given set, we need to understand the different types of angle pairs and their properties.
1. Alternate Interior Angle Pairs: These are angles that lie on opposite sides of the transversal (a line that intersects two or more lines). They are located between the two lines and are equal in measure. They are denoted as C.
2. Same-Side Interior Angle Pairs: These angles also lie on the same side of the transversal but are located between the two lines. They add up to 180 degrees and are denoted as D.
3. Exterior Angle Pairs: These angles are located outside the two lines and are supplementary to the interior angles. They add up to 180 degrees and are denoted as E.
4. Vertical Angle Pairs: These angles are opposite each other when two lines cross. They are equal in measure and are denoted as H.
5. Adjacent Angle Pairs: These angles share a common vertex and a common side but do not overlap. They add up to 180 degrees and are denoted as F.
6. Obtuse Angle Pairs: These angles are greater than 90 degrees but less than 180 degrees. They can fall into various categories such as alternate, corresponding, or same-side interior angle pairs.
7. Corresponding Angle Pairs: These angles are located in the same position relative to the transversal, but on different lines. They are equal in measure and are denoted as G.
8. Complementary Angle Pairs: These angles add up to 90 degrees. They can be any combination of angles that sum to 90 degrees and are denoted as I.
Now, referring back to the given angles: 4/2, 3, 1/3, 42; it is not clear how these angles are related or which lines are being intersected by a transversal. For an accurate identification of the angle pairs, more information is needed.
If you can provide the necessary details or clarify the context, I will be happy to assist you in naming the angle pairs.