Question

8 multiple choice 1 point lines a and b are parallel lines cut by a transversal. which of the following angles would not be congruent to the measure of ∠7? ∠2 ∠8 ∠6 ∠3 clear my selection

Explanation:

Step1: Identify vertical angles

Vertical angles are congruent. $\angle7$ and $\angle8$ are vertical angles, so $\angle7\cong\angle8$.

Step2: Identify alternate interior angles

Since lines $A$ and $B$ are parallel, alternate interior angles are congruent. $\angle7$ and $\angle3$ are alternate interior angles, so $\angle7\cong\angle3$.

Step3: Identify adjacent angles

$\angle7$ and $\angle6$ are adjacent angles forming a linear pair. $\angle6 + \angle7=180^{\circ}$ (supplementary). They are congruent only if each is $90^{\circ}$, which is not indicated here.

Step4: Identify corresponding angles

$\angle7$ and $\angle2$ are corresponding angles. Since $A\parallel B$, $\angle7\cong\angle2$.

Answer:

$\angle6$