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.
