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Hi, 

 

1. In the diagram angle U=30 degrees, arc XY is 170 degrees, and arc VW is 110 degrees. Find arc WY in degrees. 

 


https://latex.artofproblemsolving.com/a/c/a/aca12b1fb2644f794294af3b15cfeab348364d6f.png

 

Sorry, I couldn't get the upload to work. 

 Jul 28, 2020
edited by Noori  Jul 28, 2020
 #1
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0

 

 

1. In the diagram angle U=30 degrees, arc XY is 170 degrees, and arc VW is 110 degrees. Find arc WY in degrees. 

 

arc VX + arc WY = 80º          ( arc VX and arc WY are called intercepted arcs )

 

Important:   When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

 

(arc WY - arc VX) / 2 = 30º

 

arc WY = 70º   indecision

 Jul 28, 2020

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