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22 votes
22 votes
Points G, H, Q, and F are on the given circle. If arc HQ measures 67º and ZGEF measures 115°, what is measure of arc GF? 91 297 163 19

User Lowitty
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1 Answer

6 votes
6 votes

In this problem we know the the angle GEF is equal to 115º and is the oposite angle of HEQ so it is also equal 115º so with this angle and the arc HQ we can calculate the radus like:


\begin{gathered} \theta r=S \\ 115r=67 \\ r=(67)/(115) \\ r=0.58 \end{gathered}

So now we can calculate the missing arc GF:


1.42\cdot115=163.3\approx163

So is option B

User Skleest
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