Question

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

Explanation:

Step1: Recall circle - arc relationship

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

Step2: Identify known arcs

We know one arc has a measure of 160° and another has a measure of 52°.

Step3: Calculate measure of $\stackrel{\frown}{CED}$

Let the measure of $\stackrel{\frown}{CED}$ be $x$. Then $x+160^{\circ}+52^{\circ}=360^{\circ}$. Solving for $x$, we get $x = 360^{\circ}-(160^{\circ}+52^{\circ})=360^{\circ}-212^{\circ}=148^{\circ}$.

Answer:

$148^{\circ}$