Question

use the figure for this question. which angles are congruent to ∠3? select all the correct answers. ∠1 ∠6 ∠7 ∠8 ∠5 ∠2

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are congruent. $\angle3$ and $\angle1$ are vertical angles, so $\angle3\cong\angle1$.

Step2: Identify corresponding - angle relationship

Assume the two lines crossed by the transversals are parallel. $\angle3$ and $\angle7$ are corresponding angles, so $\angle3\cong\angle7$.

Step3: Identify alternate - exterior - angle relationship

$\angle3$ and $\angle5$ are alternate - exterior angles. If the lines are parallel, $\angle3\cong\angle5$.

Answer:

$\angle1$, $\angle7$, $\angle5$