Answer:
The true statements are:
* The Corresponding Angles Congruent ⇒ B
* Same Side Interior Angles are supplementary ⇒ C
* Alternate Interior Angles are congruent ⇒ F
Step-by-step explanation:
∵ Lines m and l are parallel
∵ Line t intersects them
∵ Corresponding angles are equal in measures
∴ ∠1 = ∠5 ⇒ corresponding angles
∴ ∠3 = ∠7 ⇒ corresponding angles
∴ ∠2 = ∠6 ⇒ corresponding angles
∴ ∠4 = ∠8 ⇒ corresponding angles
∵ The alternate interior angles are equal in measures
∴ ∠3 = ∠6 ⇒ alternate interior angles
∴ ∠4 = ∠5 ⇒ alternate interior angles
∵ The same side interior angles are supplementary
∴ m∠3 + m∠ 5 = 180° ⇒ same side interior angles
∴ ∠3 and ∠5 are interior supplementary angles
∴ m∠4 + m∠ 6 = 180° ⇒ same side interior angles
∴ ∠4 and ∠6 are interior supplementary angles
The true statements are:
* The Corresponding Angles Congruent ⇒ B
* Same Side Interior Angles are supplementary ⇒ C
* Alternate Interior Angles are congruent ⇒ F
, so when we factor is out, our divide each term by