Question

ray be bisects ∠abc. if m∠abe = (4x + 3)° and m∠cbe = (6x - 11)°, what is m∠abe?
62°
49°
31°
7°

Explanation:

Answer:

Since ray BE bisects ∠ABC, then \(m\angle ABE=m\angle CBE\). So \(4x + 3=6x - 11\), \(2x=14\), \(x = 7\). Then \(m\angle ABE=4x+3=4\times7 + 3=31^{\circ}\). So the answer is \(31^{\circ}\)