Answer:
Step-by-step explanation:
Interior angles of ΔABE are:
- ∠EAB ≅ ∠DEA as alternate interior angles ⇒ m∠EAB = 2x
- m∠AEB = 180° - m∠BEF as linear pair ⇒ m∠AEB = 180° - 4x
- m∠ABE = 180° - m∠EBC as linear pair ⇒ m∠ABE = 180° - 6x
Sum of interior angles is 180°:
- 2x + 180 - 4x + 180 - 6x = 180
- 360 - 8x = 180
- 8x = 180
- x = 180/8
- x = 22.5
