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In the figure, point is the center of the circle, the measure of angle $RTB$ is 29 degrees, and the measure of angle $ROB$ is three times the measure of angle $SOT$. What is the measure of minor arc $RS$, in degrees?

 

 Jun 7, 2022
 #1
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Let angle SOT  intercept an arc of x     and let ROB  interscept an ard of 3x

 

So

 

29  = (1/2)  ( 3x - x)

 

58  =  2x

 

x = 29

 

3x  = 87

 

And  minor arc RS =       180 - 29 - 87 =   64°

 

 

 

cool cool cool

 Jun 11, 2022

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