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AC is tangent to circle O at A. If m arc BY = 24, what is m∠YAC? (The figure is not drawn to scale.) 

A. 132 
B. 48 
C. 78 
D. 156

 Apr 4, 2016

Best Answer 

 #2
avatar+188 
+5

Thank you so much CPhill! You are a life saver! laughcool

 Apr 4, 2016
 #1
avatar+129852 
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If BY = 24, then m<BAY  = 12   [ an inscribed angle measures 1/2 of its intercepted arc ]

 

And m<BAC = 90

 

And  m<BAC  = m<BAY  +  m< YAC

 

So

 

90 = 12 + m<YAC       subtract 12 from both sides

 

78 = m<YAC

 

"C" is correct

 

 

cool cool cool

 Apr 4, 2016
 #2
avatar+188 
+5
Best Answer

Thank you so much CPhill! You are a life saver! laughcool

Carpe♥Diem  Apr 4, 2016
 #3
avatar+129852 
0

OK, you're welcome.....I don't know about being a life-saver.....I just know enough Geometry to be dangerous.....!!!!!

 

 

 

cool cool cool

 Apr 4, 2016
 #4
avatar+188 
+5

LOL. You are 100% correct on that one XD

Carpe♥Diem  Apr 4, 2016

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