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AB is tangent to the circle at B. m∠A = 14 and   (the figure is not drawn to scale)

 

A) Find x

B) Find y

 Apr 7, 2016

Best Answer 

 #1
avatar+129852 
+10

m<A = (1/2)(arc BC - arc BD)         arc BD  = x

 

14 = (1/2)(112 - x)    multiply both sides by 2

 

28 = 112 - x         add x to both sides, subtract 28 from both sides

 

x  = 112 - 28 =  84°

 

 

y = (1/2)CD

 

And CD  =  360 - BC - BD  = 360 - 112 - 84  = 164

 

So

 

y = (1/2)(164)  = 82°

 

 

cool cool cool                 

 Apr 7, 2016
 #1
avatar+129852 
+10
Best Answer

m<A = (1/2)(arc BC - arc BD)         arc BD  = x

 

14 = (1/2)(112 - x)    multiply both sides by 2

 

28 = 112 - x         add x to both sides, subtract 28 from both sides

 

x  = 112 - 28 =  84°

 

 

y = (1/2)CD

 

And CD  =  360 - BC - BD  = 360 - 112 - 84  = 164

 

So

 

y = (1/2)(164)  = 82°

 

 

cool cool cool                 

CPhill Apr 7, 2016

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