Question

Please Help!! What is the next step in the proof? Choose the most logical approach.

Answer 1

Answer:

statement D is correct.

Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5

Reason: Vertical Angles Theorem

Step-by-step explanation:

Given that

3 ≅ ∠7 and ∠4 ≅ ∠8

from statement 2 because they are corresponding angles.

∠8 ≅ ∠5

because its vertical angles

The vertical angles theorem is about angles that are opposite each other.

So,

∠4 ≅ ∠8 and ∠8 ≅ ∠5

which means

∠4 ≅ ∠5

Hence,

∠3 = ∠7

∠4 = ∠5

they are known as interior alternative angles.