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question 7 of 10 what is the measure of ⁀def?

Question

question 7 of 10 what is the measure of ⁀def?

Explanation:

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 $x=360^{\circ}- 78^{\circ}=282^{\circ}$.

Answer:

A. 282°