Question

what is the measure of ced? 106° 108° 148° 212°

Explanation:

Step1: Recall circle - arc property

The sum of the measures of the arcs of a circle is 360°.

Step2: Identify known arcs

We know one arc $\overset{\frown}{CD}=160^{\circ}$ and another arc $\overset{\frown}{CE} = 52^{\circ}$.

Step3: Calculate $\overset{\frown}{CED}$

$\overset{\frown}{CED}=\overset{\frown}{CE}+\overset{\frown}{ED}$. Since the sum of arcs in a circle is 360°, and $\overset{\frown}{CD}+\overset{\frown}{CE}+\overset{\frown}{ED}=360^{\circ}$, we can also calculate $\overset{\frown}{CED}=360^{\circ}-\overset{\frown}{CD}+\overset{\frown}{CE}$. Substitute the values: $\overset{\frown}{CED}=360 - 160+52=212^{\circ}$.

Answer:

$212^{\circ}$