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find m∠bec. m∠bec = \\(\\square\\)°

Question

find m∠bec.
m∠bec = \\(\square\\)°

Explanation:

Step1: Identify right angle

From the diagram, \( \angle BED \) is a right angle, so \( m\angle BED = 90^\circ \).

Step2: Use angle subtraction

We know \( m\angle BED = m\angle BEC + m\angle CED \). Given \( m\angle CED = 48^\circ \), we solve for \( m\angle BEC \):
\( m\angle BEC = m\angle BED - m\angle CED = 90^\circ - 48^\circ = 42^\circ \).

Answer:

42