Respuesta :

mhanifa

Answer:

  • 60°, 115°, 65°

Step-by-step explanation:

Angles a and 60°, also c and 65° are alternate interior angles and therefore are equal:

  • a = 60°
  • c = 65°

Angles b and 65° form a linear pair, so they sum to 180°

  • b + 65° = 180°
  • b = 180° - 65°
  • b = 115°
semsee45

Answer:

a = 60°

b = 115°

c = 65°

Step-by-step explanation:

Alternate Interior Angles Theorem

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent (same).

Therefore, a = 60° and c = 65°

Angles on a straight line sum to 180°

⇒ b + 65° = 180°

Subtracting 65° from both sides:

⇒ b + 65° - 65° = 180° - 65°

⇒ b = 115°