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Given: The measure of angle DFG is 80 degrees and the measure of minor arc FE is 80 degrees.


 

Please find all measures below based on the above information.

the measure of angle EGF =    degrees

the measure of angle GED =    degrees

the measure of minor arc DG =    degrees

the measure of angle FDE =    degrees

 May 18, 2020
 #1
avatar+111321 
+2

the measure of angle EGF = 

EGF  is  an insribed angle  which  intercepts  minor arc EF

Thus....it measues  (1/2)  of  this arc   =  40°

 

the measure of angle GED 

Note  that  angle DFG  = 80°

So.... minor arc  DG   = 160°

And angle GED intercepts the same arc

So its  measure also  = 80°

 

the measure of minor arc DG =    160°

 

the measure of angle FDE =  (1/2)  minor arc FE  = (1/2) (80)  =  40°

 

 

cool cool cool

 May 18, 2020
 #2
avatar+926 
+1

Thanks, CPhill with help! I'm having trouble understanding this problem here: https://web2.0calc.com/questions/in-the-diagram-shown-below-ac-is-tangent-to-circle
Can you try answering this one to make things more clear?

GAMEMASTERX40  May 18, 2020
 #3
avatar+111321 
+1

See my answer   under  your original question, GM

 

 

cool cool cool

CPhill  May 18, 2020

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