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Find the measure of the central angle indicated. Assume that lines which appear to be diameters are actual diameters.

Find the measure of the central angle indicated. Assume that lines which appear to be diameters are actual diameters.
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Find the measure of the central angle indicated. Assume that lines which appear to be diameters are actual diameters.

Find the measure of the central angle indicated. Assume that lines which appear to-example-1
User Louis Saglio
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\stackrel{\widehat{FI}}{85}~~ + ~~\stackrel{\widehat{IH}}{(50+x)}~~ + ~~\stackrel{\widehat{HG}}{(-9x-10)}~~ + ~~\stackrel{\widehat{GF}}{(-15x+5)}~~ = ~~360 \\\\\\ 130-23x=360\implies 130=360+23x\implies -230=23x\implies \cfrac{-230}{23}=x \\\\\\ -10=x\hspace{9em}\stackrel{\widehat{GF}}{-15(-10)+5}\implies \text{\LARGE 155}^o

User Dave Remy
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