Question

question 9
which angle is not congruent to ∠4?
o ∠2
o ∠6
o ∠8
o ∠7

Explanation:

Step1: Recall angle - congruence rules

When two parallel lines are cut by a transversal, vertical angles are congruent, corresponding angles are congruent, and alternate - interior and alternate - exterior angles are congruent.

Step2: Analyze $\angle4$ relationships

$\angle4$ and $\angle2$ are vertical angles, so $\angle4\cong\angle2$.

Step3: Analyze more relationships

$\angle4$ and $\angle6$ are alternate - interior angles, so $\angle4\cong\angle6$.

Step4: Analyze further relationships

$\angle4$ and $\angle8$ are corresponding angles, so $\angle4\cong\angle8$.

Step5: Determine non - congruent angle

$\angle4$ and $\angle7$ have no such congruence relationship, so $\angle7$ is not congruent to $\angle4$.

Answer:

D. $\angle7$