Question

FC is the diameter of the circle. What is the measure of arc FAD?

Answer 1

Answer:

$arc\ FAD=223^o$

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

$arc\ AB=arc\ CD$ ---> given problem

$arc\ AB=m\angle AGB$ ----> by central angle

$m\angle AGB=43^o$ ----> given problem

so

$arc\ AB=arc\ CD=43^o$

therefore

$arc\ FAD=arc\ FAC+arc\ CD$ ----> by angle addition postulate

substitute

$arc\ FAD=180^o+43^o=223^o$