Two parallel lines are cut by a transversal as shown below.Suppose =m∠462°.  Find m∠5 and m∠7.12345678=m∠5 °=m∠7 °

I'm sorry, but there seems to be some information missing from your question. In order to provide the correct angles, I would need a diagram or more specific details about the relationship between the angles.

However, I can tell you that in general, when two parallel lines are cut by a transversal:

1. Corresponding angles are equal. This means if ∠4 is 62°, then ∠8 (which corresponds to ∠4) would also be 62°.
2. Alternate interior angles are equal. So if ∠4 is 62°, then ∠6 (which is alternate to ∠4) would also be 62°.
3. Also, the sum of interior angles on the same side of the transversal is 180°. So if ∠4 is 62°, then ∠5 (which is on the same side of the transversal) would be 180° - 62° = 118°.

Please provide more details or a diagram so I can give a more accurate answer.