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In the figure, point  is the center of the circle, the measure of angle RTB  is 28 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?

 

I feel like the answer is 68, but I am extremely not sure about that.

 

 May 24, 2025
edited by Dragononweb2.0calc  May 24, 2025

Best Answer 

 #1
avatar+130493 
+1

28  = (1/2)  (  angle ROB  - angle SOT)

 

56  =  (3 angle SOT  - angle SOT)

 

56  = 2 angle SOT

 

28  = angle SOT

 

3 * angle SOT  = angle ROB =   84

 

minor arc RS    =   angle  ROS  =  180 - angle SOT - angle ROB =    180 - 28 - 56  =    68°

 

GOOD JOB !!!!!

 

cool cool cool

 May 27, 2025
edited by CPhill  May 27, 2025
 #1
avatar+130493 
+1
Best Answer

28  = (1/2)  (  angle ROB  - angle SOT)

 

56  =  (3 angle SOT  - angle SOT)

 

56  = 2 angle SOT

 

28  = angle SOT

 

3 * angle SOT  = angle ROB =   84

 

minor arc RS    =   angle  ROS  =  180 - angle SOT - angle ROB =    180 - 28 - 56  =    68°

 

GOOD JOB !!!!!

 

cool cool cool

CPhill May 27, 2025
edited by CPhill  May 27, 2025

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