Question

in the figure below, ∠bec and ∠ced are adjacent. if m∠bec = 56° and m∠bed = 123°, then what is m∠ced? m∠ced =

Explanation:

Step1: Identify angle - relationship

Since $\angle BEC$ and $\angle CED$ are adjacent and $\angle BED=\angle BEC + \angle CED$.

Step2: Solve for $\angle CED$

We can rewrite the equation as $\angle CED=\angle BED-\angle BEC$. Substitute $m\angle BEC = 56^{\circ}$ and $m\angle BED = 123^{\circ}$ into the equation. So, $m\angle CED=123 - 56$.
$m\angle CED = 67^{\circ}$

Answer:

$67$