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lines c and d are parallel lines cut by transversal p.

horizontal and parallel lines c and d are cut by transversal p. on line c where it intersects with line p, 4 angles are formed. clockwise, from uppercase left, the angles are: 1, 2, 3, 4. on line d where it intersects with line p, 4 angles are formed. clockwise, from uppercase left, the angles are: 5, 6, 7, 8.

which must be true by the corresponding angles theorem?

∠1 ≅ ∠7
∠2 ≅ ∠6
∠3 ≅ ∠5
∠5 ≅ ∠7