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In the diagram, angle u= 30 degrees. Arc XY is 170 degrees, and arc VW is 120 degrees. Find arc WY, in degrees.

 

 Feb 7, 2022
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Since there are 360o in the circle and arc(XY) = 170o and arc(VW) = 120o,

there is a total of 170o + 120o = 290o in these two angles (combined);

this means left over for arc(XV) and arc(WY) (combined).is 360o - 290o  =  70o.

 

Let x = arc(WY)     --->      then arc(XV) = 70o - x

 

Since angle(U) is an angle in the exterior of the circle:  [ x - (70o - x) } / 2  =  30o.

 

Solving,  x = 65o.

 Feb 7, 2022

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