Question

find ( mangle bec ).

( mangle bec=square^{circ} )

Explanation:

Step1: Use the angle sum property of right - angle

We know that \(\angle AEB = 90^{\circ}\) (right - angle) and \(\angle AEB+\angle BEC+\angle CED = 180^{\circ}\) (straight - line angle). So, \(\angle BEC=90^{\circ}-\angle CED\).

Step2: Substitute the value of \(\angle CED\)

Given \(\angle CED = 48^{\circ}\). Then \(m\angle BEC=90^{\circ}-48^{\circ}\).

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

Answer:

\(42\)