∠1 = 26°
∠2 = 154°
∠3 = 26°
∠4 = 26°
∠5 = 154°
∠6 = 154°
∠7 = 26°
Explanation:
So, we have two parallel lines cut by a transversal (C).
Vertical angles are always equal.
∠2 = 154° (vertical angles)
Linear pair make up 180°.
∠1 = 180° - 154° = 26° (linear pair)
∠1 = ∠3 = 26° (vertical angles)
Corresponding angles are always equal.
∠5 = 154° (corresponding angles)
∠5 = ∠6 = 154° (vertical angles)
Alternate Interior angles are always equal.
∠3 = ∠4 = 26° (alternate interior angles)
∠4 = ∠7 = 26° (vertical angles)