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Trapezoid $HGFE$ is inscribed in a circle, with $\overline{EF} \parallel \overline{GH}$. If arc $GH$ is $66$ degrees, arc $EH$ is $x^2 + 8x$ degrees, and arc $FG$ is $25 + 16x$ degrees, where $x > 0,$ find arc $EPF$, in degrees.

 Jun 21, 2024
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Let's note something really important.  

We need to find what \(\angle EPF\) is. 

 

However, let's read through the problem. It never actually identifies what \(P\)is!

 

This means it's impossible to solve the problem as P is not defined. 

 

Thanks! :)

 

~NTS

 Jun 21, 2024
edited by NotThatSmart  Jun 21, 2024

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