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
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°
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?