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The measure of DF the center of the given circle

The measure of DF the center of the given circle-example-1

1 Answer

6 votes

Solution:

Given the circle;


|OF|\cong|OE|=r

Thus;


\triangle FOE\text{ is isosceles triangle}

Then;


\begin{gathered} \angle OFE=38^o \\ \\ \angle Arc\text{ }DF=38^o+38^o..............(\text{ An exterior angle of a triangle is equal to the sum of the two interior opposite angles\rparen} \\ \\ \angle Arc\text{ }DF=76^o \end{gathered}

CORRECT OPTION: B

The measure of DF the center of the given circle-example-1
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