Question

16 multiple choice 1 point which angles are congruent to each other? <6 and <8 <5 and <6 <7 and <8 <1 and <7

Explanation:

Step1: Recall vertical angles property

Vertical angles are congruent. Vertical angles are opposite angles formed by two intersecting lines.

Step2: Analyze each option

• For $\angle6$ and $\angle8$: They are not vertical angles.
• For $\angle5$ and $\angle6$: They are adjacent angles (linear - pair), not congruent (sum to $180^{\circ}$).
• For $\angle7$ and $\angle8$: They are adjacent angles (linear - pair), not congruent (sum to $180^{\circ}$).
• For $\angle1$ and $\angle7$: $\angle1=\angle3$ (vertical angles), $\angle3=\angle7$ (corresponding angles as the lines are parallel). So, by transitive property $\angle1 = \angle7$.

Answer:

$\angle1$ and $\angle7$