Answered

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used to diagram below given the line j and line k are intersecting lines tell whether the angles are vertical angles a linear pair or neither
1. angle one and angle 4
2. angle 2 and angle 3
3. angle 1 and angle 5
4. angle 2 and angle 4
5. angle 4 Ang angle 5​

Sagot :

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Answer:

• Vertical Angles: Angles that are opposite each other when two lines intersect. They are always equal.

• Linear Pair: Two adjacent angles that form a straight line. Their measures add up to 180°.

Diagram Assumption:

Let's assume the following diagram based on your description:

1 2

\ /

\ /

j X k

/ \

/ \

4 3

Let's also include angle 5 in our diagram. Assuming angle 5 is adjacent to angle 1 and angle 4:

1 2

\ /

\ /

j X k

/ \

/ \

4 3

5

Now, we can determine the relationships for each pair of angles:

1. Angle 1 and Angle 4:

• They are opposite each other at the intersection of lines j and k.

  • Answer: Vertical Angles

2. Angle 2 and Angle 3:

• They are opposite each other at the intersection of lines j and k.

  • Answer: Vertical Angles

3. Angle 1 and Angle 5:

• They are adjacent and form a straight line with line j.

  • Answer: Linear Pair

4. Angle 2 and Angle 4:

• They are adjacent and form a straight line with line k.

  • Answer: Linear Pair

5. Angle 4 and Angle 5:

• Angle 4 and angle 5 are adjacent but do not form a straight line (they do not add up to 180°).

  • Answer: Neither

Summary:

1. Angle 1 and Angle 4: Vertical Angles

2. Angle 2 and Angle 3: Vertical Angles

3. Angle 1 and Angle 5: Linear Pair

4. Angle 2 and Angle 4: Linear Pair

5. Angle 4 and Angle 5: Neither

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