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In the figure, YX−→− and YZ−→− are tangents to circle A at points X and Z, respectively.  

mXZ =140∘ 
mXSZ =220∘

 

What is the measure of  ∠XYZ ?

 Apr 10, 2018
 #1
avatar+100588 
+2

We have this

 

m XYZ  =  (1/2) (m XSZ  - m XZ )  =  (1/2) ( 220 -  140 )  = (1/2) (80)  = 40°

 

 

cool cool cool

 Apr 10, 2018

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