Geometry

What is angle RPK, in degrees?

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$arc\ RK={\color{black}360^o-2\cdot arc\ KM=360^o-2\cdot 138^o}=84^o$

$\angle KMR=42^o\\ \angle MKQ=8.5^o\\ \angle KPM =180^o -8.5^o -42^o =129.5^o\\ \angle RPK =\dfrac{360^o-2\cdot 129.5^o}{2}$

$\angle RPK = 50.5^o$

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