Answer:
Option C. is the answer.
Step-by-step explanation:
In the figure attached, f and g are two parallel lines and a transverse is intersecting these lines.
Now we will each option to check whether it is applicable or not.
A. ∠1 ≅ ∠8
Since ∠1 ≅ ∠5 [ Corresponding angles]
and ∠5 ≅ ∠8 [ opposite angles ]
Therefore, ∠1 ≅ ∠8 [Transitive property of equality]
Therefore, option is correct.
B). m∠2 + m∠5 = 180°
Since ∠2 ≅ ∠7
Therefore, m∠7 + m∠5 = 180° [ supplementary angles]
Therefore, option is correct.
C. ∠4 ≅ ∠7
We can not deduce this statement from the given statement.
D. ∠3 + ∠8 = 180°
Since ∠3 ≅ ∠7
So ∠7 + ∠8 = 180°
And we know ∠7 and ∠8 are supplementary angles.
So this option is correct.
