Question

prove that ∠6≅∠2.
two collum proof
given:f∥g
prove:∠6≅∠2

Explanation:

Step1: Use the property of alternate interior angles

Since \(F\parallel G\), \(\angle6\cong\angle3\) (alternate interior angles).

Step2: Use the property of vertical angles

\(\angle3\cong\angle2\) (vertical angles).

Step3: Use the transitive property of congruence

If \(\angle6\cong\angle3\) and \(\angle3\cong\angle2\), then \(\angle6\cong\angle2\) (transitive property: if \(a = b\) and \(b = c\), then \(a = c\)).

Answer:

\(\angle6\cong\angle2\) is proved.