Question

2pts what is the relationship between angle 1 and each of the other numbered angles in this diagram? you must use geometric vocabulary as well as the names of angle pairs.

Explanation:

• Angle 1 and angle 2 are a linear - pair. They are adjacent and supplementary (sum to 180°).
• Angle 1 and angle 3 are vertical angles. They are congruent.
• Angle 1 and angle 4 are adjacent angles.
• Angle 1 and angle 5 are corresponding angles. If the two lines are parallel, they are congruent.
• Angle 1 and angle 6 are alternate interior angles. If the two lines are parallel, they are congruent.
• Angle 1 and angle 7 are non - related in a special angle - pair way in general.
• Angle 1 and angle 8 are alternate exterior angles. If the two lines are parallel, they are congruent.

Answer:

• Angle 1 and angle 2: Linear - pair (adjacent and supplementary).
• Angle 1 and angle 3: Vertical angles (congruent).
• Angle 1 and angle 4: Adjacent angles.
• Angle 1 and angle 5: Corresponding angles (congruent if lines are parallel).
• Angle 1 and angle 6: Alternate interior angles (congruent if lines are parallel).
• Angle 1 and angle 7: No special angle - pair relationship in general.
• Angle 1 and angle 8: Alternate exterior angles (congruent if lines are parallel).