Question

question. find m∠cde. answer. attempt 1 out of 2 m∠cde =
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Explanation:

Step1: Identify isosceles - triangle

Since $CD = DE$, $\triangle CDE$ is isosceles. So $\angle E=\angle C = 48^{\circ}$.

Step2: Use angle - sum property

The sum of interior angles of a triangle is $180^{\circ}$. In $\triangle CDE$, we have $m\angle CDE+ m\angle C + m\angle E=180^{\circ}$.

Step3: Calculate $\angle CDE$

Substitute $\angle C = 48^{\circ}$ and $\angle E = 48^{\circ}$ into the formula: $m\angle CDE=180^{\circ}-48^{\circ}-48^{\circ}=84^{\circ}$.

Answer:

$84^{\circ}$