To find the measure of arc EG, subtract the measure of arc FE (100 degrees) from the measure of arc FG (120 degrees), which results in an Arc Measure of 20 degrees for EG.
The student is asking about finding the measure of an arc in a circle.
In this particular problem, we are given that the arc FE is 100 degrees and the arc FG is 120 degrees.
To find the measure of arc EG, we can subtract the measure of arc FE from the measure of arc FG since arc EG lies between FE and FG and therefore is part of FG.
Hence, the measure of arc EG is 120 degrees minus 100 degrees, which equals 20 degrees.
The probable question may be:
In a circle with center O , it has radius FO, GO, EO the arc of FE has 100 degree, arc of FG is 120 degree find the measure of EG?