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Can you help me solve for x

Can you help me solve for x-example-1

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Angle R =70°
Angle R is inscribed in this circle & its sides intercept the circle in Q & S

WE know that mes of inscribed circle = mes of the ARC intercepted &
divided by 2:

mes Angle R(=70°) = mes Arc QS/2 or (141x-1)/2

So (141x-1)/2 70 ==>141x-1 = 140 & x=1
User Marandus
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