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In the diagram, \(\angle U = 30^\circ\), minor arc \(XY\) is \(170^\circ\), and minor arc \(VW\) is \(110^\circ\). Find arc \(WY\) in degrees.

 Jun 2, 2021
 #1
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Arc WY - Arc XV = Angle U = 30 degrees.

 

Arc WY + Arx XV = 360 - 170 - 110 = 80 degrees.

 

Therefore, arc WY = (30 + 80)/2 = 55 degrees.

 Jun 2, 2021
 #2
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I am afraid that is wrong. I don't know why yet, but I don't think you do \(\dfrac{115}{2}\).

Guest Jun 2, 2021
 #5
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Arc VX = x

 

[(80 - x) - x] / 2 = 30

 

x = 10

 

Arc VX = 10º             arc WY = 70º

civonamzuk  Jun 6, 2021
 #3
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https://web2.0calc.com/questions/geometry_10279#r2

 Jun 2, 2021
 #4
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Thank you!!!!!!!!!!!! That is correct!!!!!laugh

Guest Jun 3, 2021

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