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Question
question 7 of 10 what is the measure of ⁀def?
Step1: Recall circle - arc property
The sum of the measures of the arcs of a circle is 360°.
Step2: Identify given arc measure
The measure of arc $\overset{\frown}{DF}$ is 78°.
Step3: Calculate measure of $\overset{\frown}{DEF}$
Let the measure of arc $\overset{\frown}{DEF}$ be $x$. Then $x + 78^{\circ}=360^{\circ}$. Solving for $x$, we get $x=360^{\circ}- 78^{\circ}=282^{\circ}$.
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A. 282°