Q:

what is the measure of def 78° PLEASE HELP

Accepted Solution

A:
Answer:The measure of arc DEF is 204°B is correctStep-by-step explanation:In a circle center at O. ∠DOF and ∠DEF are lie on same base but ∠DOF at center and ∠DEF on circle. Thus, ∠DOF = 2 ∠DEF minor ∠DOF = 2 x 78 = 156°We need to find arc DEF. DEF is central angle of major∠DOF major∠DOF + minor ∠DOF = 360°     (Complete angle at center)             major∠DOF  +  156° = 360°                          major∠DOF = 204° major∠DOF is arc DEF. Hence, The measure of arc DEF is 204°