Question

if m∠aeb = 72° and m∠ced = 44°, find the m∠bec. answer attempt 1 out of 3 m∠bec =

Explanation:

Step1: Recall angle - sum property

The angles $\angle AEB$, $\angle BEC$ and $\angle CED$ form a straight - line, so $\angle AEB+\angle BEC+\angle CED = 180^{\circ}$.

Step2: Solve for $\angle BEC$

We can rewrite the equation as $\angle BEC=180^{\circ}-\angle AEB - \angle CED$. Substitute $\angle AEB = 72^{\circ}$ and $\angle CED = 44^{\circ}$ into the equation. Then $\angle BEC=180^{\circ}-72^{\circ}-44^{\circ}$.
$180 - 72-44=64^{\circ}$.

Answer:

$64$