Answer:
84°
Step-by-step explanation:
m∠DCH = 84° (Given)
- Given
m∠FCB = 84° (Definition of Vertical Angles)
- Definition of Vertical Angles states that angles directly opposite of each other are the same measurement. In this case, the pair of opposite angles are: ∠DCH & ∠FCB.
m∠ABE = 84° (Corresponding angles)
- Definition of Corresponding angles states that matching corners of parallel lines cut across by a Transversal are congruent. In this case, ∠FCB is corresponding to ∠ABE. m∠FCB = 84°, ∴ m∠ABE = 84°
