According to the given figure, option (A) and option (F) are correct options which better shows ∠4 ≅ ∠6 respectively.
Let's procced to solve this question.
∠4 ≅ ∠8 by the corresponding angle postulate because two parallel lines is cut by a transversal and ∠4 ≅ ∠8 by the corresponding angle postulate. It's true.
∠6 ≅ ∠8 by the definition of vertical angles. It's true.
and by using the transitive property of congruence that ∠A ≅ ∠B and ∠B ≅ ∠C then ∠A ≅ ∠C.
⇒ ∠4 ≅ ∠6 by the transitive property of congruence.
Hence, option (A) is correct.
Now,
∠2 ≅ ∠6 by the corresponding angle postulate because two parallel lines is cut by a transversal and ∠2 ≅ ∠6 by the corresponding angle postulate. It's true.
∠2 ≅ ∠4 by the definition of vertical angles. It's true.
and by using the transitive property of congruence that ∠A ≅ ∠B and ∠B ≅ ∠C then ∠A ≅ ∠C.
⇒ ∠4 ≅ ∠6 by the transitive property of congruence.
Hence, option (F) is correct.
Therefore, option (A) and option (F) are correct option.
Learn more in depth about lines and angles at brainly.com/question/25716982
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