Answer:
[tex]arc\ FAD=223^o[/tex]
Step-by-step explanation:
we know that
The diameter divide a circle into two equal parts
so
The measure of arc FAC is equal to 180 degrees (Remember that a complete circle subtends a central angle of 360 degrees)
we have that
[tex]arc\ AB=arc\ CD[/tex] ---> given problem
[tex]arc\ AB=m\angle AGB[/tex] ----> by central angle
[tex]m\angle AGB=43^o[/tex] ----> given problem
so
[tex]arc\ AB=arc\ CD=43^o[/tex]
therefore
[tex]arc\ FAD=arc\ FAC+arc\ CD[/tex] ----> by angle addition postulate
substitute
[tex]arc\ FAD=180^o+43^o=223^o[/tex]
