Question

find ( mangle bec ).
( mangle bec= ) (square^{circ})

Explanation:

Step1: Analyze the relationship between angles

Since \( \angle AEB = 90^{\circ}\) (right - angle) and \( \angle AEB=\angle BEC + \angle CED\) (angle - addition postulate), and \( \angle CED = 48^{\circ}\)

Step2: Calculate \(m\angle BEC\)

We know that \(m\angle BEC=90^{\circ}- 48^{\circ}\)

$$m\angle BEC = 42^{\circ}$$

Answer:

\(42\)